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Finding the Third Proportional to 40,299 and 88,077

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Solution

The third proportional to 40,299 and 88,077 is: 192,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,299 : 88,077 = 88,077 : x
  2. Step 2: Convert to fraction form
    40,299/88,077 = 88,077/x
  3. Step 3: Cross multiply
    40,299x = 88,077 × 88,077
  4. Step 4: Simplify right side
    40,299x = 7,757,557,929
  5. Step 5: Solve for x
    x = 7,757,557,929/40,299
  6. Step 6: Final answer
    x = 192,500.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.