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Finding the Third Proportional to 91,753.13 and 140,372.30

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Solution

The third proportional to 91,753.13 and 140,372.30 is: 214,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,753.13 : 140,372.30 = 140,372.30 : x
  2. Step 2: Convert to fraction form
    91,753.13/140,372.30 = 140,372.30/x
  3. Step 3: Cross multiply
    91,753.13x = 140,372.30 × 140,372.30
  4. Step 4: Simplify right side
    91,753.13x = 19,704,381,729.96
  5. Step 5: Solve for x
    x = 19,704,381,729.96/91,753.13
  6. Step 6: Final answer
    x = 214,754.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.