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Finding the Third Proportional to 57,001.50 and 123,843

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Solution

The third proportional to 57,001.50 and 123,843 is: 269,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,001.50 : 123,843 = 123,843 : x
  2. Step 2: Convert to fraction form
    57,001.50/123,843 = 123,843/x
  3. Step 3: Cross multiply
    57,001.50x = 123,843 × 123,843
  4. Step 4: Simplify right side
    57,001.50x = 15,337,088,649
  5. Step 5: Solve for x
    x = 15,337,088,649/57,001.50
  6. Step 6: Final answer
    x = 269,064.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.