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Finding the Third Proportional to 62,678 and 97,096

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Solution

The third proportional to 62,678 and 97,096 is: 150,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,678 : 97,096 = 97,096 : x
  2. Step 2: Convert to fraction form
    62,678/97,096 = 97,096/x
  3. Step 3: Cross multiply
    62,678x = 97,096 × 97,096
  4. Step 4: Simplify right side
    62,678x = 9,427,633,216
  5. Step 5: Solve for x
    x = 9,427,633,216/62,678
  6. Step 6: Final answer
    x = 150,413.75

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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.