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Finding the Third Proportional to 73,906.31 and 162,119.53

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Solution

The third proportional to 73,906.31 and 162,119.53 is: 355,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,906.31 : 162,119.53 = 162,119.53 : x
  2. Step 2: Convert to fraction form
    73,906.31/162,119.53 = 162,119.53/x
  3. Step 3: Cross multiply
    73,906.31x = 162,119.53 × 162,119.53
  4. Step 4: Simplify right side
    73,906.31x = 26,282,742,412.72
  5. Step 5: Solve for x
    x = 26,282,742,412.72/73,906.31
  6. Step 6: Final answer
    x = 355,622.43

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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.