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Finding the Third Proportional to 59,923.13 and 129,189.94

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Solution

The third proportional to 59,923.13 and 129,189.94 is: 278,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,923.13 : 129,189.94 = 129,189.94 : x
  2. Step 2: Convert to fraction form
    59,923.13/129,189.94 = 129,189.94/x
  3. Step 3: Cross multiply
    59,923.13x = 129,189.94 × 129,189.94
  4. Step 4: Simplify right side
    59,923.13x = 16,690,039,951.25
  5. Step 5: Solve for x
    x = 16,690,039,951.25/59,923.13
  6. Step 6: Final answer
    x = 278,524.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.