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Finding the Third Proportional to 80,635.50 and 125,275.50

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Solution

The third proportional to 80,635.50 and 125,275.50 is: 194,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,635.50 : 125,275.50 = 125,275.50 : x
  2. Step 2: Convert to fraction form
    80,635.50/125,275.50 = 125,275.50/x
  3. Step 3: Cross multiply
    80,635.50x = 125,275.50 × 125,275.50
  4. Step 4: Simplify right side
    80,635.50x = 15,693,950,900.25
  5. Step 5: Solve for x
    x = 15,693,950,900.25/80,635.50
  6. Step 6: Final answer
    x = 194,628.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.