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Finding the Third Proportional to 53,601 and 80,947.50

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Solution

The third proportional to 53,601 and 80,947.50 is: 122,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,601 : 80,947.50 = 80,947.50 : x
  2. Step 2: Convert to fraction form
    53,601/80,947.50 = 80,947.50/x
  3. Step 3: Cross multiply
    53,601x = 80,947.50 × 80,947.50
  4. Step 4: Simplify right side
    53,601x = 6,552,497,756.25
  5. Step 5: Solve for x
    x = 6,552,497,756.25/53,601
  6. Step 6: Final answer
    x = 122,245.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.