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Finding the Third Proportional to 36,699 and 81,459

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Solution

The third proportional to 36,699 and 81,459 is: 180,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,699 : 81,459 = 81,459 : x
  2. Step 2: Convert to fraction form
    36,699/81,459 = 81,459/x
  3. Step 3: Cross multiply
    36,699x = 81,459 × 81,459
  4. Step 4: Simplify right side
    36,699x = 6,635,568,681
  5. Step 5: Solve for x
    x = 6,635,568,681/36,699
  6. Step 6: Final answer
    x = 180,810.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.