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Finding the Third Proportional to 41,289 and 90,454

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Solution

The third proportional to 41,289 and 90,454 is: 198,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,289 : 90,454 = 90,454 : x
  2. Step 2: Convert to fraction form
    41,289/90,454 = 90,454/x
  3. Step 3: Cross multiply
    41,289x = 90,454 × 90,454
  4. Step 4: Simplify right side
    41,289x = 8,181,926,116
  5. Step 5: Solve for x
    x = 8,181,926,116/41,289
  6. Step 6: Final answer
    x = 198,162.37

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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.