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Finding the Third Proportional to 67,478 and 107,224

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Solution

The third proportional to 67,478 and 107,224 is: 170,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,478 : 107,224 = 107,224 : x
  2. Step 2: Convert to fraction form
    67,478/107,224 = 107,224/x
  3. Step 3: Cross multiply
    67,478x = 107,224 × 107,224
  4. Step 4: Simplify right side
    67,478x = 11,496,986,176
  5. Step 5: Solve for x
    x = 11,496,986,176/67,478
  6. Step 6: Final answer
    x = 170,381.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.