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Finding the Third Proportional to 42,749.75 and 92,801

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Solution

The third proportional to 42,749.75 and 92,801 is: 201,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,749.75 : 92,801 = 92,801 : x
  2. Step 2: Convert to fraction form
    42,749.75/92,801 = 92,801/x
  3. Step 3: Cross multiply
    42,749.75x = 92,801 × 92,801
  4. Step 4: Simplify right side
    42,749.75x = 8,612,025,601
  5. Step 5: Solve for x
    x = 8,612,025,601/42,749.75
  6. Step 6: Final answer
    x = 201,452.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.