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Finding the Third Proportional to 72,537.75 and 107,439.75

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Solution

The third proportional to 72,537.75 and 107,439.75 is: 159,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,537.75 : 107,439.75 = 107,439.75 : x
  2. Step 2: Convert to fraction form
    72,537.75/107,439.75 = 107,439.75/x
  3. Step 3: Cross multiply
    72,537.75x = 107,439.75 × 107,439.75
  4. Step 4: Simplify right side
    72,537.75x = 11,543,299,880.06
  5. Step 5: Solve for x
    x = 11,543,299,880.06/72,537.75
  6. Step 6: Final answer
    x = 159,135.07

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.