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Finding the Third Proportional to 31,122 and 68,291

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Solution

The third proportional to 31,122 and 68,291 is: 149,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122 : 68,291 = 68,291 : x
  2. Step 2: Convert to fraction form
    31,122/68,291 = 68,291/x
  3. Step 3: Cross multiply
    31,122x = 68,291 × 68,291
  4. Step 4: Simplify right side
    31,122x = 4,663,660,681
  5. Step 5: Solve for x
    x = 4,663,660,681/31,122
  6. Step 6: Final answer
    x = 149,850.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.