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Finding the Third Proportional to 128,827.13 and 192,648.38

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Solution

The third proportional to 128,827.13 and 192,648.38 is: 288,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,827.13 : 192,648.38 = 192,648.38 : x
  2. Step 2: Convert to fraction form
    128,827.13/192,648.38 = 192,648.38/x
  3. Step 3: Cross multiply
    128,827.13x = 192,648.38 × 192,648.38
  4. Step 4: Simplify right side
    128,827.13x = 37,113,396,390.14
  5. Step 5: Solve for x
    x = 37,113,396,390.14/128,827.13
  6. Step 6: Final answer
    x = 288,086.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.