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Finding the Third Proportional to 52,012 and 111,924

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Solution

The third proportional to 52,012 and 111,924 is: 240,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,012 : 111,924 = 111,924 : x
  2. Step 2: Convert to fraction form
    52,012/111,924 = 111,924/x
  3. Step 3: Cross multiply
    52,012x = 111,924 × 111,924
  4. Step 4: Simplify right side
    52,012x = 12,526,981,776
  5. Step 5: Solve for x
    x = 12,526,981,776/52,012
  6. Step 6: Final answer
    x = 240,847.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.