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Finding the Third Proportional to 41,712 and 85,344

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Solution

The third proportional to 41,712 and 85,344 is: 174,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,712 : 85,344 = 85,344 : x
  2. Step 2: Convert to fraction form
    41,712/85,344 = 85,344/x
  3. Step 3: Cross multiply
    41,712x = 85,344 × 85,344
  4. Step 4: Simplify right side
    41,712x = 7,283,598,336
  5. Step 5: Solve for x
    x = 7,283,598,336/41,712
  6. Step 6: Final answer
    x = 174,616.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.