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Finding the Third Proportional to 71,159.13 and 152,869.78

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Solution

The third proportional to 71,159.13 and 152,869.78 is: 328,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,159.13 : 152,869.78 = 152,869.78 : x
  2. Step 2: Convert to fraction form
    71,159.13/152,869.78 = 152,869.78/x
  3. Step 3: Cross multiply
    71,159.13x = 152,869.78 × 152,869.78
  4. Step 4: Simplify right side
    71,159.13x = 23,369,170,019.42
  5. Step 5: Solve for x
    x = 23,369,170,019.42/71,159.13
  6. Step 6: Final answer
    x = 328,407.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.