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Finding the Third Proportional to 59,880 and 83,257.50

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Solution

The third proportional to 59,880 and 83,257.50 is: 115,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,880 : 83,257.50 = 83,257.50 : x
  2. Step 2: Convert to fraction form
    59,880/83,257.50 = 83,257.50/x
  3. Step 3: Cross multiply
    59,880x = 83,257.50 × 83,257.50
  4. Step 4: Simplify right side
    59,880x = 6,931,811,306.25
  5. Step 5: Solve for x
    x = 6,931,811,306.25/59,880
  6. Step 6: Final answer
    x = 115,761.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.