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Finding the Third Proportional to 86,186 and 126,439

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Solution

The third proportional to 86,186 and 126,439 is: 185,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,186 : 126,439 = 126,439 : x
  2. Step 2: Convert to fraction form
    86,186/126,439 = 126,439/x
  3. Step 3: Cross multiply
    86,186x = 126,439 × 126,439
  4. Step 4: Simplify right side
    86,186x = 15,986,820,721
  5. Step 5: Solve for x
    x = 15,986,820,721/86,186
  6. Step 6: Final answer
    x = 185,492.08

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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.