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Finding the Third Proportional to 41,710 and 91,723

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Solution

The third proportional to 41,710 and 91,723 is: 201,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,710 : 91,723 = 91,723 : x
  2. Step 2: Convert to fraction form
    41,710/91,723 = 91,723/x
  3. Step 3: Cross multiply
    41,710x = 91,723 × 91,723
  4. Step 4: Simplify right side
    41,710x = 8,413,108,729
  5. Step 5: Solve for x
    x = 8,413,108,729/41,710
  6. Step 6: Final answer
    x = 201,704.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.