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Finding the Third Proportional to 41,813 and 90,157

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Solution

The third proportional to 41,813 and 90,157 is: 194,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,813 : 90,157 = 90,157 : x
  2. Step 2: Convert to fraction form
    41,813/90,157 = 90,157/x
  3. Step 3: Cross multiply
    41,813x = 90,157 × 90,157
  4. Step 4: Simplify right side
    41,813x = 8,128,284,649
  5. Step 5: Solve for x
    x = 8,128,284,649/41,813
  6. Step 6: Final answer
    x = 194,396.11

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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.