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Finding the Third Proportional to 40,689 and 88,143

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Solution

The third proportional to 40,689 and 88,143 is: 190,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,689 : 88,143 = 88,143 : x
  2. Step 2: Convert to fraction form
    40,689/88,143 = 88,143/x
  3. Step 3: Cross multiply
    40,689x = 88,143 × 88,143
  4. Step 4: Simplify right side
    40,689x = 7,769,188,449
  5. Step 5: Solve for x
    x = 7,769,188,449/40,689
  6. Step 6: Final answer
    x = 190,940.76

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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.