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Finding the Third Proportional to 65,592 and 140,739

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Solution

The third proportional to 65,592 and 140,739 is: 301,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,592 : 140,739 = 140,739 : x
  2. Step 2: Convert to fraction form
    65,592/140,739 = 140,739/x
  3. Step 3: Cross multiply
    65,592x = 140,739 × 140,739
  4. Step 4: Simplify right side
    65,592x = 19,807,466,121
  5. Step 5: Solve for x
    x = 19,807,466,121/65,592
  6. Step 6: Final answer
    x = 301,979.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.