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Finding the Third Proportional to 79,195.31 and 172,332.56

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Solution

The third proportional to 79,195.31 and 172,332.56 is: 375,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,195.31 : 172,332.56 = 172,332.56 : x
  2. Step 2: Convert to fraction form
    79,195.31/172,332.56 = 172,332.56/x
  3. Step 3: Cross multiply
    79,195.31x = 172,332.56 × 172,332.56
  4. Step 4: Simplify right side
    79,195.31x = 29,698,512,097.82
  5. Step 5: Solve for x
    x = 29,698,512,097.82/79,195.31
  6. Step 6: Final answer
    x = 375,003.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.