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Finding the Third Proportional to 103,761 and 156,060

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Solution

The third proportional to 103,761 and 156,060 is: 234,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,761 : 156,060 = 156,060 : x
  2. Step 2: Convert to fraction form
    103,761/156,060 = 156,060/x
  3. Step 3: Cross multiply
    103,761x = 156,060 × 156,060
  4. Step 4: Simplify right side
    103,761x = 24,354,723,600
  5. Step 5: Solve for x
    x = 24,354,723,600/103,761
  6. Step 6: Final answer
    x = 234,719.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.