"mounting risks" is correct and can be used in written English.
You would use it to describe a situation in which potential risks or dangers are getting increasingly greater or more numerous. For example: "In this current economic climate, businesses are facing mounting risks when it comes to their investments."
It was largely thanks to this ideology that regulators ignored the mounting risks.
He said there were also mounting risks to the global economy posed by problems in emerging market economies.
Both countries need to address the mounting risks of the instability of North Korea spilling across its borders.
"As I was serving as prime minister, we were alive to the mounting risks that would be formed by Australian extremists hardened by going to Syria and fighting.
The issue is not just the scan itself, but the mounting risks and costs of the biopsies and operations that follow when tumors are found.
This could drive up the borrowing costs of other countries, such as Italy and Spain, amid mounting risks of other defaults on the continent.
A mounting risk of famine is the result.
A key reason is the mounting risk of a recession in America.
With its housing market blighted and its consumers growing fearful, America now faces a mounting risk of recession.
In today's Europe, the enemies are more likely to be sluggish to non-existent growth in many countries, deflation in others, high unemployment, structural rigidities and a mounting risk of debt default.
This, Naím claims, produces a uniquely dangerous kind of disaffected alienation: "If there is a mounting risk to democracy and liberal socieities in the 21st century," he writes, "it is less likely to come from a conventional, modern threat (China) or a pre-modern one (radical Islam) than from within societies where alienation has set in".
