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Finding the Third Proportional to 44,911 and 68,731

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Solution

The third proportional to 44,911 and 68,731 is: 105,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,911 : 68,731 = 68,731 : x
  2. Step 2: Convert to fraction form
    44,911/68,731 = 68,731/x
  3. Step 3: Cross multiply
    44,911x = 68,731 × 68,731
  4. Step 4: Simplify right side
    44,911x = 4,723,950,361
  5. Step 5: Solve for x
    x = 4,723,950,361/44,911
  6. Step 6: Final answer
    x = 105,184.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.