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Finding the Third Proportional to 57,272.06 and 83,311.03

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Solution

The third proportional to 57,272.06 and 83,311.03 is: 121,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,272.06 : 83,311.03 = 83,311.03 : x
  2. Step 2: Convert to fraction form
    57,272.06/83,311.03 = 83,311.03/x
  3. Step 3: Cross multiply
    57,272.06x = 83,311.03 × 83,311.03
  4. Step 4: Simplify right side
    57,272.06x = 6,940,727,927.94
  5. Step 5: Solve for x
    x = 6,940,727,927.94/57,272.06
  6. Step 6: Final answer
    x = 121,188.72

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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.