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Finding the Third Proportional to 67,168 and 141,230

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Solution

The third proportional to 67,168 and 141,230 is: 296,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,168 : 141,230 = 141,230 : x
  2. Step 2: Convert to fraction form
    67,168/141,230 = 141,230/x
  3. Step 3: Cross multiply
    67,168x = 141,230 × 141,230
  4. Step 4: Simplify right side
    67,168x = 19,945,912,900
  5. Step 5: Solve for x
    x = 19,945,912,900/67,168
  6. Step 6: Final answer
    x = 296,955.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.