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Finding the Third Proportional to 70,213.50 and 151,699.50

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Solution

The third proportional to 70,213.50 and 151,699.50 is: 327,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,213.50 : 151,699.50 = 151,699.50 : x
  2. Step 2: Convert to fraction form
    70,213.50/151,699.50 = 151,699.50/x
  3. Step 3: Cross multiply
    70,213.50x = 151,699.50 × 151,699.50
  4. Step 4: Simplify right side
    70,213.50x = 23,012,738,300.25
  5. Step 5: Solve for x
    x = 23,012,738,300.25/70,213.50
  6. Step 6: Final answer
    x = 327,753.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.