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Finding the Third Proportional to 48,146.50 and 115,981

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Solution

The third proportional to 48,146.50 and 115,981 is: 279,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,146.50 : 115,981 = 115,981 : x
  2. Step 2: Convert to fraction form
    48,146.50/115,981 = 115,981/x
  3. Step 3: Cross multiply
    48,146.50x = 115,981 × 115,981
  4. Step 4: Simplify right side
    48,146.50x = 13,451,592,361
  5. Step 5: Solve for x
    x = 13,451,592,361/48,146.50
  6. Step 6: Final answer
    x = 279,388.79

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.