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Finding the Third Proportional to 52,544 and 108,814

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Solution

The third proportional to 52,544 and 108,814 is: 225,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,544 : 108,814 = 108,814 : x
  2. Step 2: Convert to fraction form
    52,544/108,814 = 108,814/x
  3. Step 3: Cross multiply
    52,544x = 108,814 × 108,814
  4. Step 4: Simplify right side
    52,544x = 11,840,486,596
  5. Step 5: Solve for x
    x = 11,840,486,596/52,544
  6. Step 6: Final answer
    x = 225,344.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.