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Finding the Third Proportional to 59,113.13 and 129,723.19

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Solution

The third proportional to 59,113.13 and 129,723.19 is: 284,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,113.13 : 129,723.19 = 129,723.19 : x
  2. Step 2: Convert to fraction form
    59,113.13/129,723.19 = 129,723.19/x
  3. Step 3: Cross multiply
    59,113.13x = 129,723.19 × 129,723.19
  4. Step 4: Simplify right side
    59,113.13x = 16,828,105,375.16
  5. Step 5: Solve for x
    x = 16,828,105,375.16/59,113.13
  6. Step 6: Final answer
    x = 284,676.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.