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Finding the Third Proportional to 119,038 and 247,939

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Solution

The third proportional to 119,038 and 247,939 is: 516,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,038 : 247,939 = 247,939 : x
  2. Step 2: Convert to fraction form
    119,038/247,939 = 247,939/x
  3. Step 3: Cross multiply
    119,038x = 247,939 × 247,939
  4. Step 4: Simplify right side
    119,038x = 61,473,747,721
  5. Step 5: Solve for x
    x = 61,473,747,721/119,038
  6. Step 6: Final answer
    x = 516,421.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.