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Finding the Third Proportional to 41,814 and 90,168

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Solution

The third proportional to 41,814 and 90,168 is: 194,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,814 : 90,168 = 90,168 : x
  2. Step 2: Convert to fraction form
    41,814/90,168 = 90,168/x
  3. Step 3: Cross multiply
    41,814x = 90,168 × 90,168
  4. Step 4: Simplify right side
    41,814x = 8,130,268,224
  5. Step 5: Solve for x
    x = 8,130,268,224/41,814
  6. Step 6: Final answer
    x = 194,438.90

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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.