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Finding the Third Proportional to 47,868 and 101,496

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Solution

The third proportional to 47,868 and 101,496 is: 215,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,868 : 101,496 = 101,496 : x
  2. Step 2: Convert to fraction form
    47,868/101,496 = 101,496/x
  3. Step 3: Cross multiply
    47,868x = 101,496 × 101,496
  4. Step 4: Simplify right side
    47,868x = 10,301,438,016
  5. Step 5: Solve for x
    x = 10,301,438,016/47,868
  6. Step 6: Final answer
    x = 215,205.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.