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Finding the Third Proportional to 71,743.50 and 151,688.25

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Solution

The third proportional to 71,743.50 and 151,688.25 is: 320,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,743.50 : 151,688.25 = 151,688.25 : x
  2. Step 2: Convert to fraction form
    71,743.50/151,688.25 = 151,688.25/x
  3. Step 3: Cross multiply
    71,743.50x = 151,688.25 × 151,688.25
  4. Step 4: Simplify right side
    71,743.50x = 23,009,325,188.06
  5. Step 5: Solve for x
    x = 23,009,325,188.06/71,743.50
  6. Step 6: Final answer
    x = 320,716.51

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.