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Finding the Third Proportional to 59,899 and 89,850

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Solution

The third proportional to 59,899 and 89,850 is: 134,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,899 : 89,850 = 89,850 : x
  2. Step 2: Convert to fraction form
    59,899/89,850 = 89,850/x
  3. Step 3: Cross multiply
    59,899x = 89,850 × 89,850
  4. Step 4: Simplify right side
    59,899x = 8,073,022,500
  5. Step 5: Solve for x
    x = 8,073,022,500/59,899
  6. Step 6: Final answer
    x = 134,777.25

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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.