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Finding the Third Proportional to 73,977.50 and 161,796.50

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Solution

The third proportional to 73,977.50 and 161,796.50 is: 353,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,977.50 : 161,796.50 = 161,796.50 : x
  2. Step 2: Convert to fraction form
    73,977.50/161,796.50 = 161,796.50/x
  3. Step 3: Cross multiply
    73,977.50x = 161,796.50 × 161,796.50
  4. Step 4: Simplify right side
    73,977.50x = 26,178,107,412.25
  5. Step 5: Solve for x
    x = 26,178,107,412.25/73,977.50
  6. Step 6: Final answer
    x = 353,865.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.