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Finding the Third Proportional to 52,815 and 114,921

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Solution

The third proportional to 52,815 and 114,921 is: 250,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,815 : 114,921 = 114,921 : x
  2. Step 2: Convert to fraction form
    52,815/114,921 = 114,921/x
  3. Step 3: Cross multiply
    52,815x = 114,921 × 114,921
  4. Step 4: Simplify right side
    52,815x = 13,206,836,241
  5. Step 5: Solve for x
    x = 13,206,836,241/52,815
  6. Step 6: Final answer
    x = 250,058.43

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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.