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Finding the Third Proportional to 86,082 and 186,459

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Solution

The third proportional to 86,082 and 186,459 is: 403,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,082 : 186,459 = 186,459 : x
  2. Step 2: Convert to fraction form
    86,082/186,459 = 186,459/x
  3. Step 3: Cross multiply
    86,082x = 186,459 × 186,459
  4. Step 4: Simplify right side
    86,082x = 34,766,958,681
  5. Step 5: Solve for x
    x = 34,766,958,681/86,082
  6. Step 6: Final answer
    x = 403,881.86

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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.