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Finding the Third Proportional to 80,064 and 175,176

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Solution

The third proportional to 80,064 and 175,176 is: 383,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,064 : 175,176 = 175,176 : x
  2. Step 2: Convert to fraction form
    80,064/175,176 = 175,176/x
  3. Step 3: Cross multiply
    80,064x = 175,176 × 175,176
  4. Step 4: Simplify right side
    80,064x = 30,686,630,976
  5. Step 5: Solve for x
    x = 30,686,630,976/80,064
  6. Step 6: Final answer
    x = 383,276.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.