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Finding the Third Proportional to 72,891.75 and 119,025.75

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Solution

The third proportional to 72,891.75 and 119,025.75 is: 194,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,891.75 : 119,025.75 = 119,025.75 : x
  2. Step 2: Convert to fraction form
    72,891.75/119,025.75 = 119,025.75/x
  3. Step 3: Cross multiply
    72,891.75x = 119,025.75 × 119,025.75
  4. Step 4: Simplify right side
    72,891.75x = 14,167,129,163.06
  5. Step 5: Solve for x
    x = 14,167,129,163.06/72,891.75
  6. Step 6: Final answer
    x = 194,358.47

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.