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Finding the Third Proportional to 127,350 and 172,338.75

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Solution

The third proportional to 127,350 and 172,338.75 is: 233,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,350 : 172,338.75 = 172,338.75 : x
  2. Step 2: Convert to fraction form
    127,350/172,338.75 = 172,338.75/x
  3. Step 3: Cross multiply
    127,350x = 172,338.75 × 172,338.75
  4. Step 4: Simplify right side
    127,350x = 29,700,644,751.56
  5. Step 5: Solve for x
    x = 29,700,644,751.56/127,350
  6. Step 6: Final answer
    x = 233,220.61

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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.