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Finding the Third Proportional to 80,724.75 and 110,813.50

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Solution

The third proportional to 80,724.75 and 110,813.50 is: 152,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,724.75 : 110,813.50 = 110,813.50 : x
  2. Step 2: Convert to fraction form
    80,724.75/110,813.50 = 110,813.50/x
  3. Step 3: Cross multiply
    80,724.75x = 110,813.50 × 110,813.50
  4. Step 4: Simplify right side
    80,724.75x = 12,279,631,782.25
  5. Step 5: Solve for x
    x = 12,279,631,782.25/80,724.75
  6. Step 6: Final answer
    x = 152,117.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.