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Finding the Third Proportional to 80,077.50 and 170,031.75

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Solution

The third proportional to 80,077.50 and 170,031.75 is: 361,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,077.50 : 170,031.75 = 170,031.75 : x
  2. Step 2: Convert to fraction form
    80,077.50/170,031.75 = 170,031.75/x
  3. Step 3: Cross multiply
    80,077.50x = 170,031.75 × 170,031.75
  4. Step 4: Simplify right side
    80,077.50x = 28,910,796,008.06
  5. Step 5: Solve for x
    x = 28,910,796,008.06/80,077.50
  6. Step 6: Final answer
    x = 361,035.20

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