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Finding the Third Proportional to 108,497 and 167,981

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Solution

The third proportional to 108,497 and 167,981 is: 260,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,497 : 167,981 = 167,981 : x
  2. Step 2: Convert to fraction form
    108,497/167,981 = 167,981/x
  3. Step 3: Cross multiply
    108,497x = 167,981 × 167,981
  4. Step 4: Simplify right side
    108,497x = 28,217,616,361
  5. Step 5: Solve for x
    x = 28,217,616,361/108,497
  6. Step 6: Final answer
    x = 260,077.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.