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Finding the Third Proportional to 55,115.50 and 82,459

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Solution

The third proportional to 55,115.50 and 82,459 is: 123,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,115.50 : 82,459 = 82,459 : x
  2. Step 2: Convert to fraction form
    55,115.50/82,459 = 82,459/x
  3. Step 3: Cross multiply
    55,115.50x = 82,459 × 82,459
  4. Step 4: Simplify right side
    55,115.50x = 6,799,486,681
  5. Step 5: Solve for x
    x = 6,799,486,681/55,115.50
  6. Step 6: Final answer
    x = 123,367.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.