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Finding the Third Proportional to 100,976 and 156,332

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Solution

The third proportional to 100,976 and 156,332 is: 242,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,976 : 156,332 = 156,332 : x
  2. Step 2: Convert to fraction form
    100,976/156,332 = 156,332/x
  3. Step 3: Cross multiply
    100,976x = 156,332 × 156,332
  4. Step 4: Simplify right side
    100,976x = 24,439,694,224
  5. Step 5: Solve for x
    x = 24,439,694,224/100,976
  6. Step 6: Final answer
    x = 242,034.68

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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.