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Finding the Third Proportional to 119,042 and 191,398

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Solution

The third proportional to 119,042 and 191,398 is: 307,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,042 : 191,398 = 191,398 : x
  2. Step 2: Convert to fraction form
    119,042/191,398 = 191,398/x
  3. Step 3: Cross multiply
    119,042x = 191,398 × 191,398
  4. Step 4: Simplify right side
    119,042x = 36,633,194,404
  5. Step 5: Solve for x
    x = 36,633,194,404/119,042
  6. Step 6: Final answer
    x = 307,733.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.