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Finding the Third Proportional to 108,491 and 167,651

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Solution

The third proportional to 108,491 and 167,651 is: 259,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,491 : 167,651 = 167,651 : x
  2. Step 2: Convert to fraction form
    108,491/167,651 = 167,651/x
  3. Step 3: Cross multiply
    108,491x = 167,651 × 167,651
  4. Step 4: Simplify right side
    108,491x = 28,106,857,801
  5. Step 5: Solve for x
    x = 28,106,857,801/108,491
  6. Step 6: Final answer
    x = 259,070.87

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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.