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Finding the Third Proportional to 108,061 and 173,624

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Solution

The third proportional to 108,061 and 173,624 is: 278,965.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,061 : 173,624 = 173,624 : x
  2. Step 2: Convert to fraction form
    108,061/173,624 = 173,624/x
  3. Step 3: Cross multiply
    108,061x = 173,624 × 173,624
  4. Step 4: Simplify right side
    108,061x = 30,145,293,376
  5. Step 5: Solve for x
    x = 30,145,293,376/108,061
  6. Step 6: Final answer
    x = 278,965.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.