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Finding the Third Proportional to 40,238 and 88,252

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Solution

The third proportional to 40,238 and 88,252 is: 193,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,238 : 88,252 = 88,252 : x
  2. Step 2: Convert to fraction form
    40,238/88,252 = 88,252/x
  3. Step 3: Cross multiply
    40,238x = 88,252 × 88,252
  4. Step 4: Simplify right side
    40,238x = 7,788,415,504
  5. Step 5: Solve for x
    x = 7,788,415,504/40,238
  6. Step 6: Final answer
    x = 193,558.71

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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.