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Finding the Third Proportional to 71,216 and 106,568

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Solution

The third proportional to 71,216 and 106,568 is: 159,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,216 : 106,568 = 106,568 : x
  2. Step 2: Convert to fraction form
    71,216/106,568 = 106,568/x
  3. Step 3: Cross multiply
    71,216x = 106,568 × 106,568
  4. Step 4: Simplify right side
    71,216x = 11,356,738,624
  5. Step 5: Solve for x
    x = 11,356,738,624/71,216
  6. Step 6: Final answer
    x = 159,468.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.