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Finding the Third Proportional to 41,513 and 90,007

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Solution

The third proportional to 41,513 and 90,007 is: 195,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,513 : 90,007 = 90,007 : x
  2. Step 2: Convert to fraction form
    41,513/90,007 = 90,007/x
  3. Step 3: Cross multiply
    41,513x = 90,007 × 90,007
  4. Step 4: Simplify right side
    41,513x = 8,101,260,049
  5. Step 5: Solve for x
    x = 8,101,260,049/41,513
  6. Step 6: Final answer
    x = 195,149.95

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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.