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Finding the Third Proportional to 67,070 and 146,601

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Solution

The third proportional to 67,070 and 146,601 is: 320,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,070 : 146,601 = 146,601 : x
  2. Step 2: Convert to fraction form
    67,070/146,601 = 146,601/x
  3. Step 3: Cross multiply
    67,070x = 146,601 × 146,601
  4. Step 4: Simplify right side
    67,070x = 21,491,853,201
  5. Step 5: Solve for x
    x = 21,491,853,201/67,070
  6. Step 6: Final answer
    x = 320,439.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.