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Finding the Third Proportional to 72,374.02 and 159,472.31

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Solution

The third proportional to 72,374.02 and 159,472.31 is: 351,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,374.02 : 159,472.31 = 159,472.31 : x
  2. Step 2: Convert to fraction form
    72,374.02/159,472.31 = 159,472.31/x
  3. Step 3: Cross multiply
    72,374.02x = 159,472.31 × 159,472.31
  4. Step 4: Simplify right side
    72,374.02x = 25,431,418,454.10
  5. Step 5: Solve for x
    x = 25,431,418,454.10/72,374.02
  6. Step 6: Final answer
    x = 351,388.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.