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Finding the Third Proportional to 80,896 and 175,040

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Solution

The third proportional to 80,896 and 175,040 is: 378,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,896 : 175,040 = 175,040 : x
  2. Step 2: Convert to fraction form
    80,896/175,040 = 175,040/x
  3. Step 3: Cross multiply
    80,896x = 175,040 × 175,040
  4. Step 4: Simplify right side
    80,896x = 30,639,001,600
  5. Step 5: Solve for x
    x = 30,639,001,600/80,896
  6. Step 6: Final answer
    x = 378,745.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.