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Finding the Third Proportional to 71,305.13 and 152,732.81

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Solution

The third proportional to 71,305.13 and 152,732.81 is: 327,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,305.13 : 152,732.81 = 152,732.81 : x
  2. Step 2: Convert to fraction form
    71,305.13/152,732.81 = 152,732.81/x
  3. Step 3: Cross multiply
    71,305.13x = 152,732.81 × 152,732.81
  4. Step 4: Simplify right side
    71,305.13x = 23,327,312,014.16
  5. Step 5: Solve for x
    x = 23,327,312,014.16/71,305.13
  6. Step 6: Final answer
    x = 327,147.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.