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Finding the Third Proportional to 92,175 and 202,165

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Solution

The third proportional to 92,175 and 202,165 is: 443,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,175 : 202,165 = 202,165 : x
  2. Step 2: Convert to fraction form
    92,175/202,165 = 202,165/x
  3. Step 3: Cross multiply
    92,175x = 202,165 × 202,165
  4. Step 4: Simplify right side
    92,175x = 40,870,687,225
  5. Step 5: Solve for x
    x = 40,870,687,225/92,175
  6. Step 6: Final answer
    x = 443,403.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.