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Finding the Third Proportional to 86,197 and 132,459

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Solution

The third proportional to 86,197 and 132,459 is: 203,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,197 : 132,459 = 132,459 : x
  2. Step 2: Convert to fraction form
    86,197/132,459 = 132,459/x
  3. Step 3: Cross multiply
    86,197x = 132,459 × 132,459
  4. Step 4: Simplify right side
    86,197x = 17,545,386,681
  5. Step 5: Solve for x
    x = 17,545,386,681/86,197
  6. Step 6: Final answer
    x = 203,549.85

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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.