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Finding the Third Proportional to 124,747.50 and 270,819

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Solution

The third proportional to 124,747.50 and 270,819 is: 587,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,747.50 : 270,819 = 270,819 : x
  2. Step 2: Convert to fraction form
    124,747.50/270,819 = 270,819/x
  3. Step 3: Cross multiply
    124,747.50x = 270,819 × 270,819
  4. Step 4: Simplify right side
    124,747.50x = 73,342,930,761
  5. Step 5: Solve for x
    x = 73,342,930,761/124,747.50
  6. Step 6: Final answer
    x = 587,931.07

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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.