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Finding the Third Proportional to 59,118 and 129,721.50

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Solution

The third proportional to 59,118 and 129,721.50 is: 284,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,118 : 129,721.50 = 129,721.50 : x
  2. Step 2: Convert to fraction form
    59,118/129,721.50 = 129,721.50/x
  3. Step 3: Cross multiply
    59,118x = 129,721.50 × 129,721.50
  4. Step 4: Simplify right side
    59,118x = 16,827,667,562.25
  5. Step 5: Solve for x
    x = 16,827,667,562.25/59,118
  6. Step 6: Final answer
    x = 284,645.41

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