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Finding the Third Proportional to 52,560 and 80,796

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Solution

The third proportional to 52,560 and 80,796 is: 124,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,560 : 80,796 = 80,796 : x
  2. Step 2: Convert to fraction form
    52,560/80,796 = 80,796/x
  3. Step 3: Cross multiply
    52,560x = 80,796 × 80,796
  4. Step 4: Simplify right side
    52,560x = 6,527,993,616
  5. Step 5: Solve for x
    x = 6,527,993,616/52,560
  6. Step 6: Final answer
    x = 124,200.79

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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.