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Finding the Third Proportional to 122,019.75 and 182,378.25

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Solution

The third proportional to 122,019.75 and 182,378.25 is: 272,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,019.75 : 182,378.25 = 182,378.25 : x
  2. Step 2: Convert to fraction form
    122,019.75/182,378.25 = 182,378.25/x
  3. Step 3: Cross multiply
    122,019.75x = 182,378.25 × 182,378.25
  4. Step 4: Simplify right side
    122,019.75x = 33,261,826,073.06
  5. Step 5: Solve for x
    x = 33,261,826,073.06/122,019.75
  6. Step 6: Final answer
    x = 272,593.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.