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Finding the Third Proportional to 38,195 and 83,619

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Solution

The third proportional to 38,195 and 83,619 is: 183,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,195 : 83,619 = 83,619 : x
  2. Step 2: Convert to fraction form
    38,195/83,619 = 83,619/x
  3. Step 3: Cross multiply
    38,195x = 83,619 × 83,619
  4. Step 4: Simplify right side
    38,195x = 6,992,137,161
  5. Step 5: Solve for x
    x = 6,992,137,161/38,195
  6. Step 6: Final answer
    x = 183,064.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.