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Finding the Third Proportional to 81,180 and 124,848

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Solution

The third proportional to 81,180 and 124,848 is: 192,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,180 : 124,848 = 124,848 : x
  2. Step 2: Convert to fraction form
    81,180/124,848 = 124,848/x
  3. Step 3: Cross multiply
    81,180x = 124,848 × 124,848
  4. Step 4: Simplify right side
    81,180x = 15,587,023,104
  5. Step 5: Solve for x
    x = 15,587,023,104/81,180
  6. Step 6: Final answer
    x = 192,005.70

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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.