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Finding the Third Proportional to 61,608 and 96,626

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Solution

The third proportional to 61,608 and 96,626 is: 151,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,608 : 96,626 = 96,626 : x
  2. Step 2: Convert to fraction form
    61,608/96,626 = 96,626/x
  3. Step 3: Cross multiply
    61,608x = 96,626 × 96,626
  4. Step 4: Simplify right side
    61,608x = 9,336,583,876
  5. Step 5: Solve for x
    x = 9,336,583,876/61,608
  6. Step 6: Final answer
    x = 151,548.24

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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.