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Finding the Third Proportional to 48,122 and 107,180

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Solution

The third proportional to 48,122 and 107,180 is: 238,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,122 : 107,180 = 107,180 : x
  2. Step 2: Convert to fraction form
    48,122/107,180 = 107,180/x
  3. Step 3: Cross multiply
    48,122x = 107,180 × 107,180
  4. Step 4: Simplify right side
    48,122x = 11,487,552,400
  5. Step 5: Solve for x
    x = 11,487,552,400/48,122
  6. Step 6: Final answer
    x = 238,717.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.