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Finding the Third Proportional to 128,071.13 and 192,520.13

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Solution

The third proportional to 128,071.13 and 192,520.13 is: 289,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,071.13 : 192,520.13 = 192,520.13 : x
  2. Step 2: Convert to fraction form
    128,071.13/192,520.13 = 192,520.13/x
  3. Step 3: Cross multiply
    128,071.13x = 192,520.13 × 192,520.13
  4. Step 4: Simplify right side
    128,071.13x = 37,063,998,530.02
  5. Step 5: Solve for x
    x = 37,063,998,530.02/128,071.13
  6. Step 6: Final answer
    x = 289,401.68

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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.