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Finding the Third Proportional to 59,233 and 89,555

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Solution

The third proportional to 59,233 and 89,555 is: 135,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,233 : 89,555 = 89,555 : x
  2. Step 2: Convert to fraction form
    59,233/89,555 = 89,555/x
  3. Step 3: Cross multiply
    59,233x = 89,555 × 89,555
  4. Step 4: Simplify right side
    59,233x = 8,020,098,025
  5. Step 5: Solve for x
    x = 8,020,098,025/59,233
  6. Step 6: Final answer
    x = 135,399.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.