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Finding the Third Proportional to 65,608 and 140,552

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Solution

The third proportional to 65,608 and 140,552 is: 301,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,608 : 140,552 = 140,552 : x
  2. Step 2: Convert to fraction form
    65,608/140,552 = 140,552/x
  3. Step 3: Cross multiply
    65,608x = 140,552 × 140,552
  4. Step 4: Simplify right side
    65,608x = 19,754,864,704
  5. Step 5: Solve for x
    x = 19,754,864,704/65,608
  6. Step 6: Final answer
    x = 301,104.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.