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Finding the Third Proportional to 41,053 and 88,245

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Solution

The third proportional to 41,053 and 88,245 is: 189,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,053 : 88,245 = 88,245 : x
  2. Step 2: Convert to fraction form
    41,053/88,245 = 88,245/x
  3. Step 3: Cross multiply
    41,053x = 88,245 × 88,245
  4. Step 4: Simplify right side
    41,053x = 7,787,180,025
  5. Step 5: Solve for x
    x = 7,787,180,025/41,053
  6. Step 6: Final answer
    x = 189,686.02

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