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Finding the Third Proportional to 88,603 and 192,757

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Solution

The third proportional to 88,603 and 192,757 is: 419,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,603 : 192,757 = 192,757 : x
  2. Step 2: Convert to fraction form
    88,603/192,757 = 192,757/x
  3. Step 3: Cross multiply
    88,603x = 192,757 × 192,757
  4. Step 4: Simplify right side
    88,603x = 37,155,261,049
  5. Step 5: Solve for x
    x = 37,155,261,049/88,603
  6. Step 6: Final answer
    x = 419,345.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.