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Finding the Third Proportional to 67,166 and 141,229

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Solution

The third proportional to 67,166 and 141,229 is: 296,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,166 : 141,229 = 141,229 : x
  2. Step 2: Convert to fraction form
    67,166/141,229 = 141,229/x
  3. Step 3: Cross multiply
    67,166x = 141,229 × 141,229
  4. Step 4: Simplify right side
    67,166x = 19,945,630,441
  5. Step 5: Solve for x
    x = 19,945,630,441/67,166
  6. Step 6: Final answer
    x = 296,960.22

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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.