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Finding the Third Proportional to 73,352 and 106,568

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Solution

The third proportional to 73,352 and 106,568 is: 154,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,352 : 106,568 = 106,568 : x
  2. Step 2: Convert to fraction form
    73,352/106,568 = 106,568/x
  3. Step 3: Cross multiply
    73,352x = 106,568 × 106,568
  4. Step 4: Simplify right side
    73,352x = 11,356,738,624
  5. Step 5: Solve for x
    x = 11,356,738,624/73,352
  6. Step 6: Final answer
    x = 154,825.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.