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Finding the Third Proportional to 41,989 and 88,717

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Solution

The third proportional to 41,989 and 88,717 is: 187,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,989 : 88,717 = 88,717 : x
  2. Step 2: Convert to fraction form
    41,989/88,717 = 88,717/x
  3. Step 3: Cross multiply
    41,989x = 88,717 × 88,717
  4. Step 4: Simplify right side
    41,989x = 7,870,706,089
  5. Step 5: Solve for x
    x = 7,870,706,089/41,989
  6. Step 6: Final answer
    x = 187,446.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.