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Finding the Third Proportional to 59,780 and 89,555

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Solution

The third proportional to 59,780 and 89,555 is: 134,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,780 : 89,555 = 89,555 : x
  2. Step 2: Convert to fraction form
    59,780/89,555 = 89,555/x
  3. Step 3: Cross multiply
    59,780x = 89,555 × 89,555
  4. Step 4: Simplify right side
    59,780x = 8,020,098,025
  5. Step 5: Solve for x
    x = 8,020,098,025/59,780
  6. Step 6: Final answer
    x = 134,160.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.