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Finding the Third Proportional to 96,192.75 and 131,041.13

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Solution

The third proportional to 96,192.75 and 131,041.13 is: 178,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,192.75 : 131,041.13 = 131,041.13 : x
  2. Step 2: Convert to fraction form
    96,192.75/131,041.13 = 131,041.13/x
  3. Step 3: Cross multiply
    96,192.75x = 131,041.13 × 131,041.13
  4. Step 4: Simplify right side
    96,192.75x = 17,171,776,441.27
  5. Step 5: Solve for x
    x = 17,171,776,441.27/96,192.75
  6. Step 6: Final answer
    x = 178,514.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.