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Finding the Third Proportional to 73,494.75 and 161,002.25

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Solution

The third proportional to 73,494.75 and 161,002.25 is: 352,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,494.75 : 161,002.25 = 161,002.25 : x
  2. Step 2: Convert to fraction form
    73,494.75/161,002.25 = 161,002.25/x
  3. Step 3: Cross multiply
    73,494.75x = 161,002.25 × 161,002.25
  4. Step 4: Simplify right side
    73,494.75x = 25,921,724,505.06
  5. Step 5: Solve for x
    x = 25,921,724,505.06/73,494.75
  6. Step 6: Final answer
    x = 352,701.72

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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.