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Finding the Third Proportional to 52,542.75 and 80,763

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Solution

The third proportional to 52,542.75 and 80,763 is: 124,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,542.75 : 80,763 = 80,763 : x
  2. Step 2: Convert to fraction form
    52,542.75/80,763 = 80,763/x
  3. Step 3: Cross multiply
    52,542.75x = 80,763 × 80,763
  4. Step 4: Simplify right side
    52,542.75x = 6,522,662,169
  5. Step 5: Solve for x
    x = 6,522,662,169/52,542.75
  6. Step 6: Final answer
    x = 124,140.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.