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Finding the Third Proportional to 110,899 and 156,919

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Solution

The third proportional to 110,899 and 156,919 is: 222,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,899 : 156,919 = 156,919 : x
  2. Step 2: Convert to fraction form
    110,899/156,919 = 156,919/x
  3. Step 3: Cross multiply
    110,899x = 156,919 × 156,919
  4. Step 4: Simplify right side
    110,899x = 24,623,572,561
  5. Step 5: Solve for x
    x = 24,623,572,561/110,899
  6. Step 6: Final answer
    x = 222,036.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.