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Finding the Third Proportional to 96,751.75 and 146,587.25

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Solution

The third proportional to 96,751.75 and 146,587.25 is: 222,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,751.75 : 146,587.25 = 146,587.25 : x
  2. Step 2: Convert to fraction form
    96,751.75/146,587.25 = 146,587.25/x
  3. Step 3: Cross multiply
    96,751.75x = 146,587.25 × 146,587.25
  4. Step 4: Simplify right side
    96,751.75x = 21,487,821,862.56
  5. Step 5: Solve for x
    x = 21,487,821,862.56/96,751.75
  6. Step 6: Final answer
    x = 222,092.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.