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Finding the Third Proportional to 65,538 and 140,418

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Solution

The third proportional to 65,538 and 140,418 is: 300,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,538 : 140,418 = 140,418 : x
  2. Step 2: Convert to fraction form
    65,538/140,418 = 140,418/x
  3. Step 3: Cross multiply
    65,538x = 140,418 × 140,418
  4. Step 4: Simplify right side
    65,538x = 19,717,214,724
  5. Step 5: Solve for x
    x = 19,717,214,724/65,538
  6. Step 6: Final answer
    x = 300,851.64

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Why These Related Problems?

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