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Finding the Third Proportional to 38,176 and 88,452

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Solution

The third proportional to 38,176 and 88,452 is: 204,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176 : 88,452 = 88,452 : x
  2. Step 2: Convert to fraction form
    38,176/88,452 = 88,452/x
  3. Step 3: Cross multiply
    38,176x = 88,452 × 88,452
  4. Step 4: Simplify right side
    38,176x = 7,823,756,304
  5. Step 5: Solve for x
    x = 7,823,756,304/38,176
  6. Step 6: Final answer
    x = 204,939.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.