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Finding the Third Proportional to 36,181.69 and 78,400.41

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Solution

The third proportional to 36,181.69 and 78,400.41 is: 169,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,181.69 : 78,400.41 = 78,400.41 : x
  2. Step 2: Convert to fraction form
    36,181.69/78,400.41 = 78,400.41/x
  3. Step 3: Cross multiply
    36,181.69x = 78,400.41 × 78,400.41
  4. Step 4: Simplify right side
    36,181.69x = 6,146,623,700.17
  5. Step 5: Solve for x
    x = 6,146,623,700.17/36,181.69
  6. Step 6: Final answer
    x = 169,882.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.