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Finding the Third Proportional to 41,090 and 88,406

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Solution

The third proportional to 41,090 and 88,406 is: 190,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,090 : 88,406 = 88,406 : x
  2. Step 2: Convert to fraction form
    41,090/88,406 = 88,406/x
  3. Step 3: Cross multiply
    41,090x = 88,406 × 88,406
  4. Step 4: Simplify right side
    41,090x = 7,815,620,836
  5. Step 5: Solve for x
    x = 7,815,620,836/41,090
  6. Step 6: Final answer
    x = 190,207.37

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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.