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Finding the Third Proportional to 41,814 and 90,159

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Solution

The third proportional to 41,814 and 90,159 is: 194,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,814 : 90,159 = 90,159 : x
  2. Step 2: Convert to fraction form
    41,814/90,159 = 90,159/x
  3. Step 3: Cross multiply
    41,814x = 90,159 × 90,159
  4. Step 4: Simplify right side
    41,814x = 8,128,645,281
  5. Step 5: Solve for x
    x = 8,128,645,281/41,814
  6. Step 6: Final answer
    x = 194,400.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.