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Finding the Third Proportional to 96,640.50 and 136,091.25

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Solution

The third proportional to 96,640.50 and 136,091.25 is: 191,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,640.50 : 136,091.25 = 136,091.25 : x
  2. Step 2: Convert to fraction form
    96,640.50/136,091.25 = 136,091.25/x
  3. Step 3: Cross multiply
    96,640.50x = 136,091.25 × 136,091.25
  4. Step 4: Simplify right side
    96,640.50x = 18,520,828,326.56
  5. Step 5: Solve for x
    x = 18,520,828,326.56/96,640.50
  6. Step 6: Final answer
    x = 191,646.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.