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Finding the Third Proportional to 79,566 and 175,126

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Solution

The third proportional to 79,566 and 175,126 is: 385,455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,566 : 175,126 = 175,126 : x
  2. Step 2: Convert to fraction form
    79,566/175,126 = 175,126/x
  3. Step 3: Cross multiply
    79,566x = 175,126 × 175,126
  4. Step 4: Simplify right side
    79,566x = 30,669,115,876
  5. Step 5: Solve for x
    x = 30,669,115,876/79,566
  6. Step 6: Final answer
    x = 385,455.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.