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Finding the Third Proportional to 47,538 and 99,654

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Solution

The third proportional to 47,538 and 99,654 is: 208,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,538 : 99,654 = 99,654 : x
  2. Step 2: Convert to fraction form
    47,538/99,654 = 99,654/x
  3. Step 3: Cross multiply
    47,538x = 99,654 × 99,654
  4. Step 4: Simplify right side
    47,538x = 9,930,919,716
  5. Step 5: Solve for x
    x = 9,930,919,716/47,538
  6. Step 6: Final answer
    x = 208,904.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.