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Finding the Third Proportional to 119,924 and 170,847

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Solution

The third proportional to 119,924 and 170,847 is: 243,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,924 : 170,847 = 170,847 : x
  2. Step 2: Convert to fraction form
    119,924/170,847 = 170,847/x
  3. Step 3: Cross multiply
    119,924x = 170,847 × 170,847
  4. Step 4: Simplify right side
    119,924x = 29,188,697,409
  5. Step 5: Solve for x
    x = 29,188,697,409/119,924
  6. Step 6: Final answer
    x = 243,393.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.