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Finding the Third Proportional to 48,601 and 75,055

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Solution

The third proportional to 48,601 and 75,055 is: 115,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,601 : 75,055 = 75,055 : x
  2. Step 2: Convert to fraction form
    48,601/75,055 = 75,055/x
  3. Step 3: Cross multiply
    48,601x = 75,055 × 75,055
  4. Step 4: Simplify right side
    48,601x = 5,633,253,025
  5. Step 5: Solve for x
    x = 5,633,253,025/48,601
  6. Step 6: Final answer
    x = 115,908.17

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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.