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Finding the Third Proportional to 100,472 and 156,780

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Solution

The third proportional to 100,472 and 156,780 is: 244,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,472 : 156,780 = 156,780 : x
  2. Step 2: Convert to fraction form
    100,472/156,780 = 156,780/x
  3. Step 3: Cross multiply
    100,472x = 156,780 × 156,780
  4. Step 4: Simplify right side
    100,472x = 24,579,968,400
  5. Step 5: Solve for x
    x = 24,579,968,400/100,472
  6. Step 6: Final answer
    x = 244,644.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.