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Finding the Third Proportional to 31,187 and 66,667

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Solution

The third proportional to 31,187 and 66,667 is: 142,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,187 : 66,667 = 66,667 : x
  2. Step 2: Convert to fraction form
    31,187/66,667 = 66,667/x
  3. Step 3: Cross multiply
    31,187x = 66,667 × 66,667
  4. Step 4: Simplify right side
    31,187x = 4,444,488,889
  5. Step 5: Solve for x
    x = 4,444,488,889/31,187
  6. Step 6: Final answer
    x = 142,510.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.