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Finding the Third Proportional to 40,665.75 and 88,119

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Solution

The third proportional to 40,665.75 and 88,119 is: 190,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,665.75 : 88,119 = 88,119 : x
  2. Step 2: Convert to fraction form
    40,665.75/88,119 = 88,119/x
  3. Step 3: Cross multiply
    40,665.75x = 88,119 × 88,119
  4. Step 4: Simplify right side
    40,665.75x = 7,764,958,161
  5. Step 5: Solve for x
    x = 7,764,958,161/40,665.75
  6. Step 6: Final answer
    x = 190,945.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.