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Finding the Third Proportional to 100,930 and 156,725

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Solution

The third proportional to 100,930 and 156,725 is: 243,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,930 : 156,725 = 156,725 : x
  2. Step 2: Convert to fraction form
    100,930/156,725 = 156,725/x
  3. Step 3: Cross multiply
    100,930x = 156,725 × 156,725
  4. Step 4: Simplify right side
    100,930x = 24,562,725,625
  5. Step 5: Solve for x
    x = 24,562,725,625/100,930
  6. Step 6: Final answer
    x = 243,363.97

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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.