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Finding the Third Proportional to 96,054.75 and 140,963.63

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Solution

The third proportional to 96,054.75 and 140,963.63 is: 206,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,054.75 : 140,963.63 = 140,963.63 : x
  2. Step 2: Convert to fraction form
    96,054.75/140,963.63 = 140,963.63/x
  3. Step 3: Cross multiply
    96,054.75x = 140,963.63 × 140,963.63
  4. Step 4: Simplify right side
    96,054.75x = 19,870,743,573.14
  5. Step 5: Solve for x
    x = 19,870,743,573.14/96,054.75
  6. Step 6: Final answer
    x = 206,868.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.