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Finding the Third Proportional to 44,642 and 92,188

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Solution

The third proportional to 44,642 and 92,188 is: 190,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,642 : 92,188 = 92,188 : x
  2. Step 2: Convert to fraction form
    44,642/92,188 = 92,188/x
  3. Step 3: Cross multiply
    44,642x = 92,188 × 92,188
  4. Step 4: Simplify right side
    44,642x = 8,498,627,344
  5. Step 5: Solve for x
    x = 8,498,627,344/44,642
  6. Step 6: Final answer
    x = 190,372.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.