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Finding the Third Proportional to 75,250 and 156,727

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Solution

The third proportional to 75,250 and 156,727 is: 326,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,250 : 156,727 = 156,727 : x
  2. Step 2: Convert to fraction form
    75,250/156,727 = 156,727/x
  3. Step 3: Cross multiply
    75,250x = 156,727 × 156,727
  4. Step 4: Simplify right side
    75,250x = 24,563,352,529
  5. Step 5: Solve for x
    x = 24,563,352,529/75,250
  6. Step 6: Final answer
    x = 326,423.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.