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Finding the Third Proportional to 78,568 and 170,802

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Solution

The third proportional to 78,568 and 170,802 is: 371,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,568 : 170,802 = 170,802 : x
  2. Step 2: Convert to fraction form
    78,568/170,802 = 170,802/x
  3. Step 3: Cross multiply
    78,568x = 170,802 × 170,802
  4. Step 4: Simplify right side
    78,568x = 29,173,323,204
  5. Step 5: Solve for x
    x = 29,173,323,204/78,568
  6. Step 6: Final answer
    x = 371,313.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.