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Finding the Third Proportional to 102,004 and 168,568

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Solution

The third proportional to 102,004 and 168,568 is: 278,569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004 : 168,568 = 168,568 : x
  2. Step 2: Convert to fraction form
    102,004/168,568 = 168,568/x
  3. Step 3: Cross multiply
    102,004x = 168,568 × 168,568
  4. Step 4: Simplify right side
    102,004x = 28,415,170,624
  5. Step 5: Solve for x
    x = 28,415,170,624/102,004
  6. Step 6: Final answer
    x = 278,569.18

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.