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Finding the Third Proportional to 111,645.75 and 146,016.75

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Solution

The third proportional to 111,645.75 and 146,016.75 is: 190,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,645.75 : 146,016.75 = 146,016.75 : x
  2. Step 2: Convert to fraction form
    111,645.75/146,016.75 = 146,016.75/x
  3. Step 3: Cross multiply
    111,645.75x = 146,016.75 × 146,016.75
  4. Step 4: Simplify right side
    111,645.75x = 21,320,891,280.56
  5. Step 5: Solve for x
    x = 21,320,891,280.56/111,645.75
  6. Step 6: Final answer
    x = 190,969.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.