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Finding the Third Proportional to 107,131 and 169,496

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Solution

The third proportional to 107,131 and 169,496 is: 268,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,131 : 169,496 = 169,496 : x
  2. Step 2: Convert to fraction form
    107,131/169,496 = 169,496/x
  3. Step 3: Cross multiply
    107,131x = 169,496 × 169,496
  4. Step 4: Simplify right side
    107,131x = 28,728,894,016
  5. Step 5: Solve for x
    x = 28,728,894,016/107,131
  6. Step 6: Final answer
    x = 268,166.02

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.