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Finding the Third Proportional to 75,608 and 176,600

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Solution

The third proportional to 75,608 and 176,600 is: 412,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,608 : 176,600 = 176,600 : x
  2. Step 2: Convert to fraction form
    75,608/176,600 = 176,600/x
  3. Step 3: Cross multiply
    75,608x = 176,600 × 176,600
  4. Step 4: Simplify right side
    75,608x = 31,187,560,000
  5. Step 5: Solve for x
    x = 31,187,560,000/75,608
  6. Step 6: Final answer
    x = 412,490.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.