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Finding the Third Proportional to 40,326 and 88,156

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Solution

The third proportional to 40,326 and 88,156 is: 192,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,326 : 88,156 = 88,156 : x
  2. Step 2: Convert to fraction form
    40,326/88,156 = 88,156/x
  3. Step 3: Cross multiply
    40,326x = 88,156 × 88,156
  4. Step 4: Simplify right side
    40,326x = 7,771,480,336
  5. Step 5: Solve for x
    x = 7,771,480,336/40,326
  6. Step 6: Final answer
    x = 192,716.37

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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.