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Finding the Third Proportional to 52,240 and 111,864

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Solution

The third proportional to 52,240 and 111,864 is: 239,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,240 : 111,864 = 111,864 : x
  2. Step 2: Convert to fraction form
    52,240/111,864 = 111,864/x
  3. Step 3: Cross multiply
    52,240x = 111,864 × 111,864
  4. Step 4: Simplify right side
    52,240x = 12,513,554,496
  5. Step 5: Solve for x
    x = 12,513,554,496/52,240
  6. Step 6: Final answer
    x = 239,539.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.