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Finding the Third Proportional to 67,288 and 146,224

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Solution

The third proportional to 67,288 and 146,224 is: 317,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,288 : 146,224 = 146,224 : x
  2. Step 2: Convert to fraction form
    67,288/146,224 = 146,224/x
  3. Step 3: Cross multiply
    67,288x = 146,224 × 146,224
  4. Step 4: Simplify right side
    67,288x = 21,381,458,176
  5. Step 5: Solve for x
    x = 21,381,458,176/67,288
  6. Step 6: Final answer
    x = 317,760.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.