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Finding the Third Proportional to 36,169 and 78,367

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Solution

The third proportional to 36,169 and 78,367 is: 169,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,169 : 78,367 = 78,367 : x
  2. Step 2: Convert to fraction form
    36,169/78,367 = 78,367/x
  3. Step 3: Cross multiply
    36,169x = 78,367 × 78,367
  4. Step 4: Simplify right side
    36,169x = 6,141,386,689
  5. Step 5: Solve for x
    x = 6,141,386,689/36,169
  6. Step 6: Final answer
    x = 169,796.97

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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.