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Finding the Third Proportional to 127,067 and 169,399.50

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Solution

The third proportional to 127,067 and 169,399.50 is: 225,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,067 : 169,399.50 = 169,399.50 : x
  2. Step 2: Convert to fraction form
    127,067/169,399.50 = 169,399.50/x
  3. Step 3: Cross multiply
    127,067x = 169,399.50 × 169,399.50
  4. Step 4: Simplify right side
    127,067x = 28,696,190,600.25
  5. Step 5: Solve for x
    x = 28,696,190,600.25/127,067
  6. Step 6: Final answer
    x = 225,835.12

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