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Finding the Third Proportional to 67,176 and 146,634

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Solution

The third proportional to 67,176 and 146,634 is: 320,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,176 : 146,634 = 146,634 : x
  2. Step 2: Convert to fraction form
    67,176/146,634 = 146,634/x
  3. Step 3: Cross multiply
    67,176x = 146,634 × 146,634
  4. Step 4: Simplify right side
    67,176x = 21,501,529,956
  5. Step 5: Solve for x
    x = 21,501,529,956/67,176
  6. Step 6: Final answer
    x = 320,077.56

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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.