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Finding the Third Proportional to 124,758.50 and 270,841

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Solution

The third proportional to 124,758.50 and 270,841 is: 587,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,758.50 : 270,841 = 270,841 : x
  2. Step 2: Convert to fraction form
    124,758.50/270,841 = 270,841/x
  3. Step 3: Cross multiply
    124,758.50x = 270,841 × 270,841
  4. Step 4: Simplify right side
    124,758.50x = 73,354,847,281
  5. Step 5: Solve for x
    x = 73,354,847,281/124,758.50
  6. Step 6: Final answer
    x = 587,974.75

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Why These Related Problems?

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