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Finding the Third Proportional to 41,210 and 88,251

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Solution

The third proportional to 41,210 and 88,251 is: 188,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,210 : 88,251 = 88,251 : x
  2. Step 2: Convert to fraction form
    41,210/88,251 = 88,251/x
  3. Step 3: Cross multiply
    41,210x = 88,251 × 88,251
  4. Step 4: Simplify right side
    41,210x = 7,788,239,001
  5. Step 5: Solve for x
    x = 7,788,239,001/41,210
  6. Step 6: Final answer
    x = 188,989.06

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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.