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Finding the Third Proportional to 85,427 and 186,946

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Solution

The third proportional to 85,427 and 186,946 is: 409,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,427 : 186,946 = 186,946 : x
  2. Step 2: Convert to fraction form
    85,427/186,946 = 186,946/x
  3. Step 3: Cross multiply
    85,427x = 186,946 × 186,946
  4. Step 4: Simplify right side
    85,427x = 34,948,806,916
  5. Step 5: Solve for x
    x = 34,948,806,916/85,427
  6. Step 6: Final answer
    x = 409,107.27

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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.