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Finding the Third Proportional to 103,892 and 155,960

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Solution

The third proportional to 103,892 and 155,960 is: 234,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,892 : 155,960 = 155,960 : x
  2. Step 2: Convert to fraction form
    103,892/155,960 = 155,960/x
  3. Step 3: Cross multiply
    103,892x = 155,960 × 155,960
  4. Step 4: Simplify right side
    103,892x = 24,323,521,600
  5. Step 5: Solve for x
    x = 24,323,521,600/103,892
  6. Step 6: Final answer
    x = 234,123.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.