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Finding the Third Proportional to 57,867 and 122,842.50

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Solution

The third proportional to 57,867 and 122,842.50 is: 260,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,867 : 122,842.50 = 122,842.50 : x
  2. Step 2: Convert to fraction form
    57,867/122,842.50 = 122,842.50/x
  3. Step 3: Cross multiply
    57,867x = 122,842.50 × 122,842.50
  4. Step 4: Simplify right side
    57,867x = 15,090,279,806.25
  5. Step 5: Solve for x
    x = 15,090,279,806.25/57,867
  6. Step 6: Final answer
    x = 260,775.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.