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Finding the Third Proportional to 67,150 and 141,212

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Solution

The third proportional to 67,150 and 141,212 is: 296,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,150 : 141,212 = 141,212 : x
  2. Step 2: Convert to fraction form
    67,150/141,212 = 141,212/x
  3. Step 3: Cross multiply
    67,150x = 141,212 × 141,212
  4. Step 4: Simplify right side
    67,150x = 19,940,828,944
  5. Step 5: Solve for x
    x = 19,940,828,944/67,150
  6. Step 6: Final answer
    x = 296,959.48

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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.