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Finding the Third Proportional to 62,736 and 98,400

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Solution

The third proportional to 62,736 and 98,400 is: 154,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,736 : 98,400 = 98,400 : x
  2. Step 2: Convert to fraction form
    62,736/98,400 = 98,400/x
  3. Step 3: Cross multiply
    62,736x = 98,400 × 98,400
  4. Step 4: Simplify right side
    62,736x = 9,682,560,000
  5. Step 5: Solve for x
    x = 9,682,560,000/62,736
  6. Step 6: Final answer
    x = 154,338.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.