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Finding the Third Proportional to 41,703 and 90,777

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Solution

The third proportional to 41,703 and 90,777 is: 197,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,703 : 90,777 = 90,777 : x
  2. Step 2: Convert to fraction form
    41,703/90,777 = 90,777/x
  3. Step 3: Cross multiply
    41,703x = 90,777 × 90,777
  4. Step 4: Simplify right side
    41,703x = 8,240,463,729
  5. Step 5: Solve for x
    x = 8,240,463,729/41,703
  6. Step 6: Final answer
    x = 197,598.82

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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.