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Finding the Third Proportional to 137,611.88 and 227,751.75

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Solution

The third proportional to 137,611.88 and 227,751.75 is: 376,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,611.88 : 227,751.75 = 227,751.75 : x
  2. Step 2: Convert to fraction form
    137,611.88/227,751.75 = 227,751.75/x
  3. Step 3: Cross multiply
    137,611.88x = 227,751.75 × 227,751.75
  4. Step 4: Simplify right side
    137,611.88x = 51,870,859,628.06
  5. Step 5: Solve for x
    x = 51,870,859,628.06/137,611.88
  6. Step 6: Final answer
    x = 376,935.93

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.