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Finding the Third Proportional to 72,374.50 and 159,473.25

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Solution

The third proportional to 72,374.50 and 159,473.25 is: 351,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,374.50 : 159,473.25 = 159,473.25 : x
  2. Step 2: Convert to fraction form
    72,374.50/159,473.25 = 159,473.25/x
  3. Step 3: Cross multiply
    72,374.50x = 159,473.25 × 159,473.25
  4. Step 4: Simplify right side
    72,374.50x = 25,431,717,465.56
  5. Step 5: Solve for x
    x = 25,431,717,465.56/72,374.50
  6. Step 6: Final answer
    x = 351,390.58

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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.