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Finding the Third Proportional to 119,926 and 170,850

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Solution

The third proportional to 119,926 and 170,850 is: 243,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,926 : 170,850 = 170,850 : x
  2. Step 2: Convert to fraction form
    119,926/170,850 = 170,850/x
  3. Step 3: Cross multiply
    119,926x = 170,850 × 170,850
  4. Step 4: Simplify right side
    119,926x = 29,189,722,500
  5. Step 5: Solve for x
    x = 29,189,722,500/119,926
  6. Step 6: Final answer
    x = 243,397.78

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