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Finding the Third Proportional to 80,231.63 and 112,163.06

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Solution

The third proportional to 80,231.63 and 112,163.06 is: 156,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,231.63 : 112,163.06 = 112,163.06 : x
  2. Step 2: Convert to fraction form
    80,231.63/112,163.06 = 112,163.06/x
  3. Step 3: Cross multiply
    80,231.63x = 112,163.06 × 112,163.06
  4. Step 4: Simplify right side
    80,231.63x = 12,580,552,589.38
  5. Step 5: Solve for x
    x = 12,580,552,589.38/80,231.63
  6. Step 6: Final answer
    x = 156,802.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.