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Finding the Third Proportional to 58,792.13 and 129,289.13

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Solution

The third proportional to 58,792.13 and 129,289.13 is: 284,318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,792.13 : 129,289.13 = 129,289.13 : x
  2. Step 2: Convert to fraction form
    58,792.13/129,289.13 = 129,289.13/x
  3. Step 3: Cross multiply
    58,792.13x = 129,289.13 × 129,289.13
  4. Step 4: Simplify right side
    58,792.13x = 16,715,677,843.27
  5. Step 5: Solve for x
    x = 16,715,677,843.27/58,792.13
  6. Step 6: Final answer
    x = 284,318.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.