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Finding the Third Proportional to 41,110 and 88,454

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Solution

The third proportional to 41,110 and 88,454 is: 190,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,110 : 88,454 = 88,454 : x
  2. Step 2: Convert to fraction form
    41,110/88,454 = 88,454/x
  3. Step 3: Cross multiply
    41,110x = 88,454 × 88,454
  4. Step 4: Simplify right side
    41,110x = 7,824,110,116
  5. Step 5: Solve for x
    x = 7,824,110,116/41,110
  6. Step 6: Final answer
    x = 190,321.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.