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Finding the Third Proportional to 69,334 and 149,738

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Solution

The third proportional to 69,334 and 149,738 is: 323,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,334 : 149,738 = 149,738 : x
  2. Step 2: Convert to fraction form
    69,334/149,738 = 149,738/x
  3. Step 3: Cross multiply
    69,334x = 149,738 × 149,738
  4. Step 4: Simplify right side
    69,334x = 22,421,468,644
  5. Step 5: Solve for x
    x = 22,421,468,644/69,334
  6. Step 6: Final answer
    x = 323,383.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.