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Finding the Third Proportional to 71,462 and 154,224

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Solution

The third proportional to 71,462 and 154,224 is: 332,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,462 : 154,224 = 154,224 : x
  2. Step 2: Convert to fraction form
    71,462/154,224 = 154,224/x
  3. Step 3: Cross multiply
    71,462x = 154,224 × 154,224
  4. Step 4: Simplify right side
    71,462x = 23,785,042,176
  5. Step 5: Solve for x
    x = 23,785,042,176/71,462
  6. Step 6: Final answer
    x = 332,834.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.