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Finding the Third Proportional to 48,726 and 75,249

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Solution

The third proportional to 48,726 and 75,249 is: 116,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,726 : 75,249 = 75,249 : x
  2. Step 2: Convert to fraction form
    48,726/75,249 = 75,249/x
  3. Step 3: Cross multiply
    48,726x = 75,249 × 75,249
  4. Step 4: Simplify right side
    48,726x = 5,662,412,001
  5. Step 5: Solve for x
    x = 5,662,412,001/48,726
  6. Step 6: Final answer
    x = 116,209.25

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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.