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Finding the Third Proportional to 69,334 and 161,766

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Solution

The third proportional to 69,334 and 161,766 is: 377,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,334 : 161,766 = 161,766 : x
  2. Step 2: Convert to fraction form
    69,334/161,766 = 161,766/x
  3. Step 3: Cross multiply
    69,334x = 161,766 × 161,766
  4. Step 4: Simplify right side
    69,334x = 26,168,238,756
  5. Step 5: Solve for x
    x = 26,168,238,756/69,334
  6. Step 6: Final answer
    x = 377,422.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.