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Finding the Third Proportional to 80,406 and 175,113

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Solution

The third proportional to 80,406 and 175,113 is: 381,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,406 : 175,113 = 175,113 : x
  2. Step 2: Convert to fraction form
    80,406/175,113 = 175,113/x
  3. Step 3: Cross multiply
    80,406x = 175,113 × 175,113
  4. Step 4: Simplify right side
    80,406x = 30,664,562,769
  5. Step 5: Solve for x
    x = 30,664,562,769/80,406
  6. Step 6: Final answer
    x = 381,371.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.