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Finding the Third Proportional to 41,699 and 89,731

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Solution

The third proportional to 41,699 and 89,731 is: 193,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,699 : 89,731 = 89,731 : x
  2. Step 2: Convert to fraction form
    41,699/89,731 = 89,731/x
  3. Step 3: Cross multiply
    41,699x = 89,731 × 89,731
  4. Step 4: Simplify right side
    41,699x = 8,051,652,361
  5. Step 5: Solve for x
    x = 8,051,652,361/41,699
  6. Step 6: Final answer
    x = 193,089.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.