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Finding the Third Proportional to 36,340 and 77,934

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Solution

The third proportional to 36,340 and 77,934 is: 167,135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,340 : 77,934 = 77,934 : x
  2. Step 2: Convert to fraction form
    36,340/77,934 = 77,934/x
  3. Step 3: Cross multiply
    36,340x = 77,934 × 77,934
  4. Step 4: Simplify right side
    36,340x = 6,073,708,356
  5. Step 5: Solve for x
    x = 6,073,708,356/36,340
  6. Step 6: Final answer
    x = 167,135.62

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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.