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Finding the Third Proportional to 38,078 and 87,758

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Solution

The third proportional to 38,078 and 87,758 is: 202,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078 : 87,758 = 87,758 : x
  2. Step 2: Convert to fraction form
    38,078/87,758 = 87,758/x
  3. Step 3: Cross multiply
    38,078x = 87,758 × 87,758
  4. Step 4: Simplify right side
    38,078x = 7,701,466,564
  5. Step 5: Solve for x
    x = 7,701,466,564/38,078
  6. Step 6: Final answer
    x = 202,255.02

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.