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Finding the Third Proportional to 108,481 and 167,957

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Solution

The third proportional to 108,481 and 167,957 is: 260,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,481 : 167,957 = 167,957 : x
  2. Step 2: Convert to fraction form
    108,481/167,957 = 167,957/x
  3. Step 3: Cross multiply
    108,481x = 167,957 × 167,957
  4. Step 4: Simplify right side
    108,481x = 28,209,553,849
  5. Step 5: Solve for x
    x = 28,209,553,849/108,481
  6. Step 6: Final answer
    x = 260,041.43

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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.