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Finding the Third Proportional to 59,901 and 89,853

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Solution

The third proportional to 59,901 and 89,853 is: 134,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,901 : 89,853 = 89,853 : x
  2. Step 2: Convert to fraction form
    59,901/89,853 = 89,853/x
  3. Step 3: Cross multiply
    59,901x = 89,853 × 89,853
  4. Step 4: Simplify right side
    59,901x = 8,073,561,609
  5. Step 5: Solve for x
    x = 8,073,561,609/59,901
  6. Step 6: Final answer
    x = 134,781.75

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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.