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Finding the Third Proportional to 95,759.50 and 144,972.25

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Solution

The third proportional to 95,759.50 and 144,972.25 is: 219,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,759.50 : 144,972.25 = 144,972.25 : x
  2. Step 2: Convert to fraction form
    95,759.50/144,972.25 = 144,972.25/x
  3. Step 3: Cross multiply
    95,759.50x = 144,972.25 × 144,972.25
  4. Step 4: Simplify right side
    95,759.50x = 21,016,953,270.06
  5. Step 5: Solve for x
    x = 21,016,953,270.06/95,759.50
  6. Step 6: Final answer
    x = 219,476.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.