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Finding the Third Proportional to 31,122 and 66,564

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Solution

The third proportional to 31,122 and 66,564 is: 142,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122 : 66,564 = 66,564 : x
  2. Step 2: Convert to fraction form
    31,122/66,564 = 66,564/x
  3. Step 3: Cross multiply
    31,122x = 66,564 × 66,564
  4. Step 4: Simplify right side
    31,122x = 4,430,766,096
  5. Step 5: Solve for x
    x = 4,430,766,096/31,122
  6. Step 6: Final answer
    x = 142,367.65

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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.