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Finding the Third Proportional to 67,172 and 146,654

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Solution

The third proportional to 67,172 and 146,654 is: 320,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,172 : 146,654 = 146,654 : x
  2. Step 2: Convert to fraction form
    67,172/146,654 = 146,654/x
  3. Step 3: Cross multiply
    67,172x = 146,654 × 146,654
  4. Step 4: Simplify right side
    67,172x = 21,507,395,716
  5. Step 5: Solve for x
    x = 21,507,395,716/67,172
  6. Step 6: Final answer
    x = 320,183.94

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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.