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Finding the Third Proportional to 127,067.75 and 169,400.50

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Solution

The third proportional to 127,067.75 and 169,400.50 is: 225,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,067.75 : 169,400.50 = 169,400.50 : x
  2. Step 2: Convert to fraction form
    127,067.75/169,400.50 = 169,400.50/x
  3. Step 3: Cross multiply
    127,067.75x = 169,400.50 × 169,400.50
  4. Step 4: Simplify right side
    127,067.75x = 28,696,529,400.25
  5. Step 5: Solve for x
    x = 28,696,529,400.25/127,067.75
  6. Step 6: Final answer
    x = 225,836.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.