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Finding the Third Proportional to 29,045 and 62,919

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Solution

The third proportional to 29,045 and 62,919 is: 136,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,045 : 62,919 = 62,919 : x
  2. Step 2: Convert to fraction form
    29,045/62,919 = 62,919/x
  3. Step 3: Cross multiply
    29,045x = 62,919 × 62,919
  4. Step 4: Simplify right side
    29,045x = 3,958,800,561
  5. Step 5: Solve for x
    x = 3,958,800,561/29,045
  6. Step 6: Final answer
    x = 136,298.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.