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Finding the Third Proportional to 45,626 and 68,250

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Solution

The third proportional to 45,626 and 68,250 is: 102,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,626 : 68,250 = 68,250 : x
  2. Step 2: Convert to fraction form
    45,626/68,250 = 68,250/x
  3. Step 3: Cross multiply
    45,626x = 68,250 × 68,250
  4. Step 4: Simplify right side
    45,626x = 4,658,062,500
  5. Step 5: Solve for x
    x = 4,658,062,500/45,626
  6. Step 6: Final answer
    x = 102,092.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.