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Finding the Third Proportional to 98,007.75 and 146,625.75

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Solution

The third proportional to 98,007.75 and 146,625.75 is: 219,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,007.75 : 146,625.75 = 146,625.75 : x
  2. Step 2: Convert to fraction form
    98,007.75/146,625.75 = 146,625.75/x
  3. Step 3: Cross multiply
    98,007.75x = 146,625.75 × 146,625.75
  4. Step 4: Simplify right side
    98,007.75x = 21,499,110,563.06
  5. Step 5: Solve for x
    x = 21,499,110,563.06/98,007.75
  6. Step 6: Final answer
    x = 219,361.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.