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Finding the Third Proportional to 86,206 and 132,472

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Solution

The third proportional to 86,206 and 132,472 is: 203,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,206 : 132,472 = 132,472 : x
  2. Step 2: Convert to fraction form
    86,206/132,472 = 132,472/x
  3. Step 3: Cross multiply
    86,206x = 132,472 × 132,472
  4. Step 4: Simplify right side
    86,206x = 17,548,830,784
  5. Step 5: Solve for x
    x = 17,548,830,784/86,206
  6. Step 6: Final answer
    x = 203,568.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.