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Finding the Third Proportional to 71,968.88 and 152,241.75

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Solution

The third proportional to 71,968.88 and 152,241.75 is: 322,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,968.88 : 152,241.75 = 152,241.75 : x
  2. Step 2: Convert to fraction form
    71,968.88/152,241.75 = 152,241.75/x
  3. Step 3: Cross multiply
    71,968.88x = 152,241.75 × 152,241.75
  4. Step 4: Simplify right side
    71,968.88x = 23,177,550,443.06
  5. Step 5: Solve for x
    x = 23,177,550,443.06/71,968.88
  6. Step 6: Final answer
    x = 322,049.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.