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Finding the Third Proportional to 44,844 and 67,188

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Solution

The third proportional to 44,844 and 67,188 is: 100,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,844 : 67,188 = 67,188 : x
  2. Step 2: Convert to fraction form
    44,844/67,188 = 67,188/x
  3. Step 3: Cross multiply
    44,844x = 67,188 × 67,188
  4. Step 4: Simplify right side
    44,844x = 4,514,227,344
  5. Step 5: Solve for x
    x = 4,514,227,344/44,844
  6. Step 6: Final answer
    x = 100,665.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.