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Finding the Third Proportional to 41,202 and 88,236

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Solution

The third proportional to 41,202 and 88,236 is: 188,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,202 : 88,236 = 88,236 : x
  2. Step 2: Convert to fraction form
    41,202/88,236 = 88,236/x
  3. Step 3: Cross multiply
    41,202x = 88,236 × 88,236
  4. Step 4: Simplify right side
    41,202x = 7,785,591,696
  5. Step 5: Solve for x
    x = 7,785,591,696/41,202
  6. Step 6: Final answer
    x = 188,961.50

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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.