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Finding the Third Proportional to 77 and 98

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Solution

The third proportional to 77 and 98 is: 124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 98 = 98 : x
  2. Step 2: Convert to fraction form
    77/98 = 98/x
  3. Step 3: Cross multiply
    77x = 98 × 98
  4. Step 4: Simplify right side
    77x = 9,604
  5. Step 5: Solve for x
    x = 9,604/77
  6. Step 6: Final answer
    x = 124.73

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.