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Finding the Third Proportional to 72,219.38 and 161,035.31

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Solution

The third proportional to 72,219.38 and 161,035.31 is: 359,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,219.38 : 161,035.31 = 161,035.31 : x
  2. Step 2: Convert to fraction form
    72,219.38/161,035.31 = 161,035.31/x
  3. Step 3: Cross multiply
    72,219.38x = 161,035.31 × 161,035.31
  4. Step 4: Simplify right side
    72,219.38x = 25,932,371,871.97
  5. Step 5: Solve for x
    x = 25,932,371,871.97/72,219.38
  6. Step 6: Final answer
    x = 359,077.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.