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Finding the Third Proportional to 48,501 and 99,654

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Solution

The third proportional to 48,501 and 99,654 is: 204,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,501 : 99,654 = 99,654 : x
  2. Step 2: Convert to fraction form
    48,501/99,654 = 99,654/x
  3. Step 3: Cross multiply
    48,501x = 99,654 × 99,654
  4. Step 4: Simplify right side
    48,501x = 9,930,919,716
  5. Step 5: Solve for x
    x = 9,930,919,716/48,501
  6. Step 6: Final answer
    x = 204,757.01

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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.