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Finding the Third Proportional to 86,005 and 182,459

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Solution

The third proportional to 86,005 and 182,459 is: 387,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,005 : 182,459 = 182,459 : x
  2. Step 2: Convert to fraction form
    86,005/182,459 = 182,459/x
  3. Step 3: Cross multiply
    86,005x = 182,459 × 182,459
  4. Step 4: Simplify right side
    86,005x = 33,291,286,681
  5. Step 5: Solve for x
    x = 33,291,286,681/86,005
  6. Step 6: Final answer
    x = 387,085.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.