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Finding the Third Proportional to 36,354 and 78,436

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Solution

The third proportional to 36,354 and 78,436 is: 169,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,354 : 78,436 = 78,436 : x
  2. Step 2: Convert to fraction form
    36,354/78,436 = 78,436/x
  3. Step 3: Cross multiply
    36,354x = 78,436 × 78,436
  4. Step 4: Simplify right side
    36,354x = 6,152,206,096
  5. Step 5: Solve for x
    x = 6,152,206,096/36,354
  6. Step 6: Final answer
    x = 169,230.51

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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.