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Finding the Third Proportional to 57,019.22 and 82,134.28

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Solution

The third proportional to 57,019.22 and 82,134.28 is: 118,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,019.22 : 82,134.28 = 82,134.28 : x
  2. Step 2: Convert to fraction form
    57,019.22/82,134.28 = 82,134.28/x
  3. Step 3: Cross multiply
    57,019.22x = 82,134.28 × 82,134.28
  4. Step 4: Simplify right side
    57,019.22x = 6,746,040,156.45
  5. Step 5: Solve for x
    x = 6,746,040,156.45/57,019.22
  6. Step 6: Final answer
    x = 118,311.69

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.