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Finding the Third Proportional to 45,717 and 65,241

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Solution

The third proportional to 45,717 and 65,241 is: 93,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,717 : 65,241 = 65,241 : x
  2. Step 2: Convert to fraction form
    45,717/65,241 = 65,241/x
  3. Step 3: Cross multiply
    45,717x = 65,241 × 65,241
  4. Step 4: Simplify right side
    45,717x = 4,256,388,081
  5. Step 5: Solve for x
    x = 4,256,388,081/45,717
  6. Step 6: Final answer
    x = 93,102.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.