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Finding the Third Proportional to 90,724.50 and 140,733

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Solution

The third proportional to 90,724.50 and 140,733 is: 218,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,724.50 : 140,733 = 140,733 : x
  2. Step 2: Convert to fraction form
    90,724.50/140,733 = 140,733/x
  3. Step 3: Cross multiply
    90,724.50x = 140,733 × 140,733
  4. Step 4: Simplify right side
    90,724.50x = 19,805,777,289
  5. Step 5: Solve for x
    x = 19,805,777,289/90,724.50
  6. Step 6: Final answer
    x = 218,306.82

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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.