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Finding the Third Proportional to 73,024 and 117,568

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Solution

The third proportional to 73,024 and 117,568 is: 189,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,024 : 117,568 = 117,568 : x
  2. Step 2: Convert to fraction form
    73,024/117,568 = 117,568/x
  3. Step 3: Cross multiply
    73,024x = 117,568 × 117,568
  4. Step 4: Simplify right side
    73,024x = 13,822,234,624
  5. Step 5: Solve for x
    x = 13,822,234,624/73,024
  6. Step 6: Final answer
    x = 189,283.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.