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Finding the Third Proportional to 82,204.88 and 123,318.70

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Solution

The third proportional to 82,204.88 and 123,318.70 is: 184,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,204.88 : 123,318.70 = 123,318.70 : x
  2. Step 2: Convert to fraction form
    82,204.88/123,318.70 = 123,318.70/x
  3. Step 3: Cross multiply
    82,204.88x = 123,318.70 × 123,318.70
  4. Step 4: Simplify right side
    82,204.88x = 15,207,502,540.43
  5. Step 5: Solve for x
    x = 15,207,502,540.43/82,204.88
  6. Step 6: Final answer
    x = 184,995.14

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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.