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Finding the Third Proportional to 57,996 and 127,200.38

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Solution

The third proportional to 57,996 and 127,200.38 is: 278,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,996 : 127,200.38 = 127,200.38 : x
  2. Step 2: Convert to fraction form
    57,996/127,200.38 = 127,200.38/x
  3. Step 3: Cross multiply
    57,996x = 127,200.38 × 127,200.38
  4. Step 4: Simplify right side
    57,996x = 16,179,935,400.14
  5. Step 5: Solve for x
    x = 16,179,935,400.14/57,996
  6. Step 6: Final answer
    x = 278,983.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.