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Finding the Third Proportional to 37,122 and 79,422

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Solution

The third proportional to 37,122 and 79,422 is: 169,922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,122 : 79,422 = 79,422 : x
  2. Step 2: Convert to fraction form
    37,122/79,422 = 79,422/x
  3. Step 3: Cross multiply
    37,122x = 79,422 × 79,422
  4. Step 4: Simplify right side
    37,122x = 6,307,854,084
  5. Step 5: Solve for x
    x = 6,307,854,084/37,122
  6. Step 6: Final answer
    x = 169,922.26

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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.