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Finding the Third Proportional to 31,167 and 66,799

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Solution

The third proportional to 31,167 and 66,799 is: 143,167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,167 : 66,799 = 66,799 : x
  2. Step 2: Convert to fraction form
    31,167/66,799 = 66,799/x
  3. Step 3: Cross multiply
    31,167x = 66,799 × 66,799
  4. Step 4: Simplify right side
    31,167x = 4,462,106,401
  5. Step 5: Solve for x
    x = 4,462,106,401/31,167
  6. Step 6: Final answer
    x = 143,167.66

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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.