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Finding the Third Proportional to 67,233 and 97,695

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Solution

The third proportional to 67,233 and 97,695 is: 141,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,233 : 97,695 = 97,695 : x
  2. Step 2: Convert to fraction form
    67,233/97,695 = 97,695/x
  3. Step 3: Cross multiply
    67,233x = 97,695 × 97,695
  4. Step 4: Simplify right side
    67,233x = 9,544,313,025
  5. Step 5: Solve for x
    x = 9,544,313,025/67,233
  6. Step 6: Final answer
    x = 141,958.76

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.