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Finding the Third Proportional to 127,338.75 and 172,324.13

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Solution

The third proportional to 127,338.75 and 172,324.13 is: 233,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,338.75 : 172,324.13 = 172,324.13 : x
  2. Step 2: Convert to fraction form
    127,338.75/172,324.13 = 172,324.13/x
  3. Step 3: Cross multiply
    127,338.75x = 172,324.13 × 172,324.13
  4. Step 4: Simplify right side
    127,338.75x = 29,695,604,057.02
  5. Step 5: Solve for x
    x = 29,695,604,057.02/127,338.75
  6. Step 6: Final answer
    x = 233,201.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.