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Finding the Third Proportional to 73,001 and 156,910

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Solution

The third proportional to 73,001 and 156,910 is: 337,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,001 : 156,910 = 156,910 : x
  2. Step 2: Convert to fraction form
    73,001/156,910 = 156,910/x
  3. Step 3: Cross multiply
    73,001x = 156,910 × 156,910
  4. Step 4: Simplify right side
    73,001x = 24,620,748,100
  5. Step 5: Solve for x
    x = 24,620,748,100/73,001
  6. Step 6: Final answer
    x = 337,265.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.