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Finding the Third Proportional to 63,729 and 140,040

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Solution

The third proportional to 63,729 and 140,040 is: 307,728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,729 : 140,040 = 140,040 : x
  2. Step 2: Convert to fraction form
    63,729/140,040 = 140,040/x
  3. Step 3: Cross multiply
    63,729x = 140,040 × 140,040
  4. Step 4: Simplify right side
    63,729x = 19,611,201,600
  5. Step 5: Solve for x
    x = 19,611,201,600/63,729
  6. Step 6: Final answer
    x = 307,728.06

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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.