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Finding the Third Proportional to 80,617.88 and 175,040.63

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Solution

The third proportional to 80,617.88 and 175,040.63 is: 380,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,617.88 : 175,040.63 = 175,040.63 : x
  2. Step 2: Convert to fraction form
    80,617.88/175,040.63 = 175,040.63/x
  3. Step 3: Cross multiply
    80,617.88x = 175,040.63 × 175,040.63
  4. Step 4: Simplify right side
    80,617.88x = 30,639,220,400.39
  5. Step 5: Solve for x
    x = 30,639,220,400.39/80,617.88
  6. Step 6: Final answer
    x = 380,054.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.