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Finding the Third Proportional to 80,034 and 172,482

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Solution

The third proportional to 80,034 and 172,482 is: 371,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,034 : 172,482 = 172,482 : x
  2. Step 2: Convert to fraction form
    80,034/172,482 = 172,482/x
  3. Step 3: Cross multiply
    80,034x = 172,482 × 172,482
  4. Step 4: Simplify right side
    80,034x = 29,750,040,324
  5. Step 5: Solve for x
    x = 29,750,040,324/80,034
  6. Step 6: Final answer
    x = 371,717.52

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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.