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Finding the Third Proportional to 52,122 and 113,802

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Solution

The third proportional to 52,122 and 113,802 is: 248,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,122 : 113,802 = 113,802 : x
  2. Step 2: Convert to fraction form
    52,122/113,802 = 113,802/x
  3. Step 3: Cross multiply
    52,122x = 113,802 × 113,802
  4. Step 4: Simplify right side
    52,122x = 12,950,895,204
  5. Step 5: Solve for x
    x = 12,950,895,204/52,122
  6. Step 6: Final answer
    x = 248,472.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.