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Finding the Third Proportional to 102,576 and 160,568

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Solution

The third proportional to 102,576 and 160,568 is: 251,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,576 : 160,568 = 160,568 : x
  2. Step 2: Convert to fraction form
    102,576/160,568 = 160,568/x
  3. Step 3: Cross multiply
    102,576x = 160,568 × 160,568
  4. Step 4: Simplify right side
    102,576x = 25,782,082,624
  5. Step 5: Solve for x
    x = 25,782,082,624/102,576
  6. Step 6: Final answer
    x = 251,346.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.