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Finding the Third Proportional to 80,932.50 and 172,071

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Solution

The third proportional to 80,932.50 and 172,071 is: 365,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,932.50 : 172,071 = 172,071 : x
  2. Step 2: Convert to fraction form
    80,932.50/172,071 = 172,071/x
  3. Step 3: Cross multiply
    80,932.50x = 172,071 × 172,071
  4. Step 4: Simplify right side
    80,932.50x = 29,608,429,041
  5. Step 5: Solve for x
    x = 29,608,429,041/80,932.50
  6. Step 6: Final answer
    x = 365,841.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.