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Finding the Third Proportional to 80,572 and 174,104

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Solution

The third proportional to 80,572 and 174,104 is: 376,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,572 : 174,104 = 174,104 : x
  2. Step 2: Convert to fraction form
    80,572/174,104 = 174,104/x
  3. Step 3: Cross multiply
    80,572x = 174,104 × 174,104
  4. Step 4: Simplify right side
    80,572x = 30,312,202,816
  5. Step 5: Solve for x
    x = 30,312,202,816/80,572
  6. Step 6: Final answer
    x = 376,212.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.