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Finding the Third Proportional to 67,165 and 141,226

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Solution

The third proportional to 67,165 and 141,226 is: 296,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,165 : 141,226 = 141,226 : x
  2. Step 2: Convert to fraction form
    67,165/141,226 = 141,226/x
  3. Step 3: Cross multiply
    67,165x = 141,226 × 141,226
  4. Step 4: Simplify right side
    67,165x = 19,944,783,076
  5. Step 5: Solve for x
    x = 19,944,783,076/67,165
  6. Step 6: Final answer
    x = 296,952.03

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Why These Related Problems?

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