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Finding the Third Proportional to 86,168 and 126,416

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Solution

The third proportional to 86,168 and 126,416 is: 185,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,168 : 126,416 = 126,416 : x
  2. Step 2: Convert to fraction form
    86,168/126,416 = 126,416/x
  3. Step 3: Cross multiply
    86,168x = 126,416 × 126,416
  4. Step 4: Simplify right side
    86,168x = 15,981,005,056
  5. Step 5: Solve for x
    x = 15,981,005,056/86,168
  6. Step 6: Final answer
    x = 185,463.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.