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Finding the Third Proportional to 41,109 and 88,764

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Solution

The third proportional to 41,109 and 88,764 is: 191,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,109 : 88,764 = 88,764 : x
  2. Step 2: Convert to fraction form
    41,109/88,764 = 88,764/x
  3. Step 3: Cross multiply
    41,109x = 88,764 × 88,764
  4. Step 4: Simplify right side
    41,109x = 7,879,047,696
  5. Step 5: Solve for x
    x = 7,879,047,696/41,109
  6. Step 6: Final answer
    x = 191,662.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.