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Finding the Third Proportional to 96,584.25 and 147,747.75

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Solution

The third proportional to 96,584.25 and 147,747.75 is: 226,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,584.25 : 147,747.75 = 147,747.75 : x
  2. Step 2: Convert to fraction form
    96,584.25/147,747.75 = 147,747.75/x
  3. Step 3: Cross multiply
    96,584.25x = 147,747.75 × 147,747.75
  4. Step 4: Simplify right side
    96,584.25x = 21,829,397,630.06
  5. Step 5: Solve for x
    x = 21,829,397,630.06/96,584.25
  6. Step 6: Final answer
    x = 226,014.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.