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Finding the Third Proportional to 64,695.38 and 140,781.38

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Solution

The third proportional to 64,695.38 and 140,781.38 is: 306,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,695.38 : 140,781.38 = 140,781.38 : x
  2. Step 2: Convert to fraction form
    64,695.38/140,781.38 = 140,781.38/x
  3. Step 3: Cross multiply
    64,695.38x = 140,781.38 × 140,781.38
  4. Step 4: Simplify right side
    64,695.38x = 19,819,395,546.89
  5. Step 5: Solve for x
    x = 19,819,395,546.89/64,695.38
  6. Step 6: Final answer
    x = 306,349.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.