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Finding the Third Proportional to 77,750 and 175,673

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Solution

The third proportional to 77,750 and 175,673 is: 396,926.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,750 : 175,673 = 175,673 : x
  2. Step 2: Convert to fraction form
    77,750/175,673 = 175,673/x
  3. Step 3: Cross multiply
    77,750x = 175,673 × 175,673
  4. Step 4: Simplify right side
    77,750x = 30,861,002,929
  5. Step 5: Solve for x
    x = 30,861,002,929/77,750
  6. Step 6: Final answer
    x = 396,926.08

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.