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Finding the Third Proportional to 45,048 and 95,928

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Solution

The third proportional to 45,048 and 95,928 is: 204,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,048 : 95,928 = 95,928 : x
  2. Step 2: Convert to fraction form
    45,048/95,928 = 95,928/x
  3. Step 3: Cross multiply
    45,048x = 95,928 × 95,928
  4. Step 4: Simplify right side
    45,048x = 9,202,181,184
  5. Step 5: Solve for x
    x = 9,202,181,184/45,048
  6. Step 6: Final answer
    x = 204,275.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.