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Finding the Third Proportional to 80,052 and 169,330

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Solution

The third proportional to 80,052 and 169,330 is: 358,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,052 : 169,330 = 169,330 : x
  2. Step 2: Convert to fraction form
    80,052/169,330 = 169,330/x
  3. Step 3: Cross multiply
    80,052x = 169,330 × 169,330
  4. Step 4: Simplify right side
    80,052x = 28,672,648,900
  5. Step 5: Solve for x
    x = 28,672,648,900/80,052
  6. Step 6: Final answer
    x = 358,175.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.