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Finding the Third Proportional to 72,599.75 and 155,704.25

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Solution

The third proportional to 72,599.75 and 155,704.25 is: 333,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,599.75 : 155,704.25 = 155,704.25 : x
  2. Step 2: Convert to fraction form
    72,599.75/155,704.25 = 155,704.25/x
  3. Step 3: Cross multiply
    72,599.75x = 155,704.25 × 155,704.25
  4. Step 4: Simplify right side
    72,599.75x = 24,243,813,468.06
  5. Step 5: Solve for x
    x = 24,243,813,468.06/72,599.75
  6. Step 6: Final answer
    x = 333,937.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.