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Finding the Third Proportional to 103,780 and 156,624

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Solution

The third proportional to 103,780 and 156,624 is: 236,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,780 : 156,624 = 156,624 : x
  2. Step 2: Convert to fraction form
    103,780/156,624 = 156,624/x
  3. Step 3: Cross multiply
    103,780x = 156,624 × 156,624
  4. Step 4: Simplify right side
    103,780x = 24,531,077,376
  5. Step 5: Solve for x
    x = 24,531,077,376/103,780
  6. Step 6: Final answer
    x = 236,375.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.