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Finding the Third Proportional to 64,691 and 140,772

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Solution

The third proportional to 64,691 and 140,772 is: 306,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,691 : 140,772 = 140,772 : x
  2. Step 2: Convert to fraction form
    64,691/140,772 = 140,772/x
  3. Step 3: Cross multiply
    64,691x = 140,772 × 140,772
  4. Step 4: Simplify right side
    64,691x = 19,816,755,984
  5. Step 5: Solve for x
    x = 19,816,755,984/64,691
  6. Step 6: Final answer
    x = 306,329.41

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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.