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Finding the Third Proportional to 39,746 and 84,229

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Solution

The third proportional to 39,746 and 84,229 is: 178,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,746 : 84,229 = 84,229 : x
  2. Step 2: Convert to fraction form
    39,746/84,229 = 84,229/x
  3. Step 3: Cross multiply
    39,746x = 84,229 × 84,229
  4. Step 4: Simplify right side
    39,746x = 7,094,524,441
  5. Step 5: Solve for x
    x = 7,094,524,441/39,746
  6. Step 6: Final answer
    x = 178,496.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.