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Finding the Third Proportional to 71,225.25 and 151,984.50

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Solution

The third proportional to 71,225.25 and 151,984.50 is: 324,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,225.25 : 151,984.50 = 151,984.50 : x
  2. Step 2: Convert to fraction form
    71,225.25/151,984.50 = 151,984.50/x
  3. Step 3: Cross multiply
    71,225.25x = 151,984.50 × 151,984.50
  4. Step 4: Simplify right side
    71,225.25x = 23,099,288,240.25
  5. Step 5: Solve for x
    x = 23,099,288,240.25/71,225.25
  6. Step 6: Final answer
    x = 324,313.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.