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Finding the Third Proportional to 73,548 and 107,568

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Solution

The third proportional to 73,548 and 107,568 is: 157,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,548 : 107,568 = 107,568 : x
  2. Step 2: Convert to fraction form
    73,548/107,568 = 107,568/x
  3. Step 3: Cross multiply
    73,548x = 107,568 × 107,568
  4. Step 4: Simplify right side
    73,548x = 11,570,874,624
  5. Step 5: Solve for x
    x = 11,570,874,624/73,548
  6. Step 6: Final answer
    x = 157,324.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.