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Finding the Third Proportional to 67,814 and 98,641

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Solution

The third proportional to 67,814 and 98,641 is: 143,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,814 : 98,641 = 98,641 : x
  2. Step 2: Convert to fraction form
    67,814/98,641 = 98,641/x
  3. Step 3: Cross multiply
    67,814x = 98,641 × 98,641
  4. Step 4: Simplify right side
    67,814x = 9,730,046,881
  5. Step 5: Solve for x
    x = 9,730,046,881/67,814
  6. Step 6: Final answer
    x = 143,481.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.