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Finding the Third Proportional to 75,972 and 175,884

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Solution

The third proportional to 75,972 and 175,884 is: 407,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,972 : 175,884 = 175,884 : x
  2. Step 2: Convert to fraction form
    75,972/175,884 = 175,884/x
  3. Step 3: Cross multiply
    75,972x = 175,884 × 175,884
  4. Step 4: Simplify right side
    75,972x = 30,935,181,456
  5. Step 5: Solve for x
    x = 30,935,181,456/75,972
  6. Step 6: Final answer
    x = 407,191.88

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.