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Finding the Third Proportional to 43,168 and 58,325

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Solution

The third proportional to 43,168 and 58,325 is: 78,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,168 : 58,325 = 58,325 : x
  2. Step 2: Convert to fraction form
    43,168/58,325 = 58,325/x
  3. Step 3: Cross multiply
    43,168x = 58,325 × 58,325
  4. Step 4: Simplify right side
    43,168x = 3,401,805,625
  5. Step 5: Solve for x
    x = 3,401,805,625/43,168
  6. Step 6: Final answer
    x = 78,803.87

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.