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Finding the Third Proportional to 57,664.69 and 124,806.38

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Solution

The third proportional to 57,664.69 and 124,806.38 is: 270,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,664.69 : 124,806.38 = 124,806.38 : x
  2. Step 2: Convert to fraction form
    57,664.69/124,806.38 = 124,806.38/x
  3. Step 3: Cross multiply
    57,664.69x = 124,806.38 × 124,806.38
  4. Step 4: Simplify right side
    57,664.69x = 15,576,631,240.64
  5. Step 5: Solve for x
    x = 15,576,631,240.64/57,664.69
  6. Step 6: Final answer
    x = 270,124.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.