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Finding the Third Proportional to 59,448 and 81,517.50

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Solution

The third proportional to 59,448 and 81,517.50 is: 111,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,448 : 81,517.50 = 81,517.50 : x
  2. Step 2: Convert to fraction form
    59,448/81,517.50 = 81,517.50/x
  3. Step 3: Cross multiply
    59,448x = 81,517.50 × 81,517.50
  4. Step 4: Simplify right side
    59,448x = 6,645,102,806.25
  5. Step 5: Solve for x
    x = 6,645,102,806.25/59,448
  6. Step 6: Final answer
    x = 111,780.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.