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Finding the Third Proportional to 67,146 and 146,278

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Solution

The third proportional to 67,146 and 146,278 is: 318,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,146 : 146,278 = 146,278 : x
  2. Step 2: Convert to fraction form
    67,146/146,278 = 146,278/x
  3. Step 3: Cross multiply
    67,146x = 146,278 × 146,278
  4. Step 4: Simplify right side
    67,146x = 21,397,253,284
  5. Step 5: Solve for x
    x = 21,397,253,284/67,146
  6. Step 6: Final answer
    x = 318,667.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.