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Finding the Third Proportional to 128,754 and 192,384

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Solution

The third proportional to 128,754 and 192,384 is: 287,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,754 : 192,384 = 192,384 : x
  2. Step 2: Convert to fraction form
    128,754/192,384 = 192,384/x
  3. Step 3: Cross multiply
    128,754x = 192,384 × 192,384
  4. Step 4: Simplify right side
    128,754x = 37,011,603,456
  5. Step 5: Solve for x
    x = 37,011,603,456/128,754
  6. Step 6: Final answer
    x = 287,459.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.