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Finding the Third Proportional to 122,215 and 185,667

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Solution

The third proportional to 122,215 and 185,667 is: 282,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,215 : 185,667 = 185,667 : x
  2. Step 2: Convert to fraction form
    122,215/185,667 = 185,667/x
  3. Step 3: Cross multiply
    122,215x = 185,667 × 185,667
  4. Step 4: Simplify right side
    122,215x = 34,472,234,889
  5. Step 5: Solve for x
    x = 34,472,234,889/122,215
  6. Step 6: Final answer
    x = 282,062.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.