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Finding the Third Proportional to 65,732 and 104,218

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Solution

The third proportional to 65,732 and 104,218 is: 165,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,732 : 104,218 = 104,218 : x
  2. Step 2: Convert to fraction form
    65,732/104,218 = 104,218/x
  3. Step 3: Cross multiply
    65,732x = 104,218 × 104,218
  4. Step 4: Simplify right side
    65,732x = 10,861,391,524
  5. Step 5: Solve for x
    x = 10,861,391,524/65,732
  6. Step 6: Final answer
    x = 165,237.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.