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Finding the Third Proportional to 48,005 and 99,081

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Solution

The third proportional to 48,005 and 99,081 is: 204,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,005 : 99,081 = 99,081 : x
  2. Step 2: Convert to fraction form
    48,005/99,081 = 99,081/x
  3. Step 3: Cross multiply
    48,005x = 99,081 × 99,081
  4. Step 4: Simplify right side
    48,005x = 9,817,044,561
  5. Step 5: Solve for x
    x = 9,817,044,561/48,005
  6. Step 6: Final answer
    x = 204,500.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.