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Finding the Third Proportional to 62,396 and 96,980

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Solution

The third proportional to 62,396 and 96,980 is: 150,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,396 : 96,980 = 96,980 : x
  2. Step 2: Convert to fraction form
    62,396/96,980 = 96,980/x
  3. Step 3: Cross multiply
    62,396x = 96,980 × 96,980
  4. Step 4: Simplify right side
    62,396x = 9,405,120,400
  5. Step 5: Solve for x
    x = 9,405,120,400/62,396
  6. Step 6: Final answer
    x = 150,732.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.