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Finding the Third Proportional to 59,337.50 and 91,847

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Solution

The third proportional to 59,337.50 and 91,847 is: 142,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,337.50 : 91,847 = 91,847 : x
  2. Step 2: Convert to fraction form
    59,337.50/91,847 = 91,847/x
  3. Step 3: Cross multiply
    59,337.50x = 91,847 × 91,847
  4. Step 4: Simplify right side
    59,337.50x = 8,435,871,409
  5. Step 5: Solve for x
    x = 8,435,871,409/59,337.50
  6. Step 6: Final answer
    x = 142,167.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.