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Finding the Third Proportional to 40,940 and 88,158

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Solution

The third proportional to 40,940 and 88,158 is: 189,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,940 : 88,158 = 88,158 : x
  2. Step 2: Convert to fraction form
    40,940/88,158 = 88,158/x
  3. Step 3: Cross multiply
    40,940x = 88,158 × 88,158
  4. Step 4: Simplify right side
    40,940x = 7,771,832,964
  5. Step 5: Solve for x
    x = 7,771,832,964/40,940
  6. Step 6: Final answer
    x = 189,834.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.