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Finding the Third Proportional to 48,675 and 75,162

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Solution

The third proportional to 48,675 and 75,162 is: 116,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,675 : 75,162 = 75,162 : x
  2. Step 2: Convert to fraction form
    48,675/75,162 = 75,162/x
  3. Step 3: Cross multiply
    48,675x = 75,162 × 75,162
  4. Step 4: Simplify right side
    48,675x = 5,649,326,244
  5. Step 5: Solve for x
    x = 5,649,326,244/48,675
  6. Step 6: Final answer
    x = 116,062.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.