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Finding the Third Proportional to 31,092 and 66,620

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Solution

The third proportional to 31,092 and 66,620 is: 142,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092 : 66,620 = 66,620 : x
  2. Step 2: Convert to fraction form
    31,092/66,620 = 66,620/x
  3. Step 3: Cross multiply
    31,092x = 66,620 × 66,620
  4. Step 4: Simplify right side
    31,092x = 4,438,224,400
  5. Step 5: Solve for x
    x = 4,438,224,400/31,092
  6. Step 6: Final answer
    x = 142,744.90

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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.