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Finding the Third Proportional to 119,022 and 157,959

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Solution

The third proportional to 119,022 and 157,959 is: 209,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,022 : 157,959 = 157,959 : x
  2. Step 2: Convert to fraction form
    119,022/157,959 = 157,959/x
  3. Step 3: Cross multiply
    119,022x = 157,959 × 157,959
  4. Step 4: Simplify right side
    119,022x = 24,951,045,681
  5. Step 5: Solve for x
    x = 24,951,045,681/119,022
  6. Step 6: Final answer
    x = 209,633.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.