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Finding the Third Proportional to 40,706 and 88,876

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Solution

The third proportional to 40,706 and 88,876 is: 194,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,706 : 88,876 = 88,876 : x
  2. Step 2: Convert to fraction form
    40,706/88,876 = 88,876/x
  3. Step 3: Cross multiply
    40,706x = 88,876 × 88,876
  4. Step 4: Simplify right side
    40,706x = 7,898,943,376
  5. Step 5: Solve for x
    x = 7,898,943,376/40,706
  6. Step 6: Final answer
    x = 194,048.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.