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Finding the Third Proportional to 36,317 and 78,372

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Solution

The third proportional to 36,317 and 78,372 is: 169,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,317 : 78,372 = 78,372 : x
  2. Step 2: Convert to fraction form
    36,317/78,372 = 78,372/x
  3. Step 3: Cross multiply
    36,317x = 78,372 × 78,372
  4. Step 4: Simplify right side
    36,317x = 6,142,170,384
  5. Step 5: Solve for x
    x = 6,142,170,384/36,317
  6. Step 6: Final answer
    x = 169,126.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.