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Finding the Third Proportional to 42,142.13 and 95,976

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Solution

The third proportional to 42,142.13 and 95,976 is: 218,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,142.13 : 95,976 = 95,976 : x
  2. Step 2: Convert to fraction form
    42,142.13/95,976 = 95,976/x
  3. Step 3: Cross multiply
    42,142.13x = 95,976 × 95,976
  4. Step 4: Simplify right side
    42,142.13x = 9,211,392,576
  5. Step 5: Solve for x
    x = 9,211,392,576/42,142.13
  6. Step 6: Final answer
    x = 218,579.21

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.