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Finding the Third Proportional to 120,427 and 187,534

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Solution

The third proportional to 120,427 and 187,534 is: 292,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,427 : 187,534 = 187,534 : x
  2. Step 2: Convert to fraction form
    120,427/187,534 = 187,534/x
  3. Step 3: Cross multiply
    120,427x = 187,534 × 187,534
  4. Step 4: Simplify right side
    120,427x = 35,169,001,156
  5. Step 5: Solve for x
    x = 35,169,001,156/120,427
  6. Step 6: Final answer
    x = 292,035.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.