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Finding the Third Proportional to 65,542 and 98,637

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Solution

The third proportional to 65,542 and 98,637 is: 148,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,542 : 98,637 = 98,637 : x
  2. Step 2: Convert to fraction form
    65,542/98,637 = 98,637/x
  3. Step 3: Cross multiply
    65,542x = 98,637 × 98,637
  4. Step 4: Simplify right side
    65,542x = 9,729,257,769
  5. Step 5: Solve for x
    x = 9,729,257,769/65,542
  6. Step 6: Final answer
    x = 148,443.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.