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Finding the Third Proportional to 59,952 and 89,604

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Solution

The third proportional to 59,952 and 89,604 is: 133,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,952 : 89,604 = 89,604 : x
  2. Step 2: Convert to fraction form
    59,952/89,604 = 89,604/x
  3. Step 3: Cross multiply
    59,952x = 89,604 × 89,604
  4. Step 4: Simplify right side
    59,952x = 8,028,876,816
  5. Step 5: Solve for x
    x = 8,028,876,816/59,952
  6. Step 6: Final answer
    x = 133,921.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.