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Finding the Third Proportional to 41,774 and 88,206

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Solution

The third proportional to 41,774 and 88,206 is: 186,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,774 : 88,206 = 88,206 : x
  2. Step 2: Convert to fraction form
    41,774/88,206 = 88,206/x
  3. Step 3: Cross multiply
    41,774x = 88,206 × 88,206
  4. Step 4: Simplify right side
    41,774x = 7,780,298,436
  5. Step 5: Solve for x
    x = 7,780,298,436/41,774
  6. Step 6: Final answer
    x = 186,247.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.