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Finding the Third Proportional to 72,231.75 and 146,377.13

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Solution

The third proportional to 72,231.75 and 146,377.13 is: 296,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,231.75 : 146,377.13 = 146,377.13 : x
  2. Step 2: Convert to fraction form
    72,231.75/146,377.13 = 146,377.13/x
  3. Step 3: Cross multiply
    72,231.75x = 146,377.13 × 146,377.13
  4. Step 4: Simplify right side
    72,231.75x = 21,426,262,723.27
  5. Step 5: Solve for x
    x = 21,426,262,723.27/72,231.75
  6. Step 6: Final answer
    x = 296,632.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.