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Finding the Third Proportional to 52,611.75 and 76,153.50

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Solution

The third proportional to 52,611.75 and 76,153.50 is: 110,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,611.75 : 76,153.50 = 76,153.50 : x
  2. Step 2: Convert to fraction form
    52,611.75/76,153.50 = 76,153.50/x
  3. Step 3: Cross multiply
    52,611.75x = 76,153.50 × 76,153.50
  4. Step 4: Simplify right side
    52,611.75x = 5,799,355,562.25
  5. Step 5: Solve for x
    x = 5,799,355,562.25/52,611.75
  6. Step 6: Final answer
    x = 110,229.28

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.