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Finding the Third Proportional to 57,059.44 and 122,806.13

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Solution

The third proportional to 57,059.44 and 122,806.13 is: 264,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,059.44 : 122,806.13 = 122,806.13 : x
  2. Step 2: Convert to fraction form
    57,059.44/122,806.13 = 122,806.13/x
  3. Step 3: Cross multiply
    57,059.44x = 122,806.13 × 122,806.13
  4. Step 4: Simplify right side
    57,059.44x = 15,081,344,337.52
  5. Step 5: Solve for x
    x = 15,081,344,337.52/57,059.44
  6. Step 6: Final answer
    x = 264,309.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.