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Finding the Third Proportional to 52,829 and 108,087

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Solution

The third proportional to 52,829 and 108,087 is: 221,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,829 : 108,087 = 108,087 : x
  2. Step 2: Convert to fraction form
    52,829/108,087 = 108,087/x
  3. Step 3: Cross multiply
    52,829x = 108,087 × 108,087
  4. Step 4: Simplify right side
    52,829x = 11,682,799,569
  5. Step 5: Solve for x
    x = 11,682,799,569/52,829
  6. Step 6: Final answer
    x = 221,143.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.