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Finding the Third Proportional to 65,542 and 100,878

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Solution

The third proportional to 65,542 and 100,878 is: 155,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,542 : 100,878 = 100,878 : x
  2. Step 2: Convert to fraction form
    65,542/100,878 = 100,878/x
  3. Step 3: Cross multiply
    65,542x = 100,878 × 100,878
  4. Step 4: Simplify right side
    65,542x = 10,176,370,884
  5. Step 5: Solve for x
    x = 10,176,370,884/65,542
  6. Step 6: Final answer
    x = 155,264.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.