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Finding the Third Proportional to 63,729 and 140,002.88

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Solution

The third proportional to 63,729 and 140,002.88 is: 307,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,729 : 140,002.88 = 140,002.88 : x
  2. Step 2: Convert to fraction form
    63,729/140,002.88 = 140,002.88/x
  3. Step 3: Cross multiply
    63,729x = 140,002.88 × 140,002.88
  4. Step 4: Simplify right side
    63,729x = 19,600,805,008.27
  5. Step 5: Solve for x
    x = 19,600,805,008.27/63,729
  6. Step 6: Final answer
    x = 307,564.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.