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Finding the Third Proportional to 41,206 and 88,243

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Solution

The third proportional to 41,206 and 88,243 is: 188,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,206 : 88,243 = 88,243 : x
  2. Step 2: Convert to fraction form
    41,206/88,243 = 88,243/x
  3. Step 3: Cross multiply
    41,206x = 88,243 × 88,243
  4. Step 4: Simplify right side
    41,206x = 7,786,827,049
  5. Step 5: Solve for x
    x = 7,786,827,049/41,206
  6. Step 6: Final answer
    x = 188,973.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.