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Finding the Third Proportional to 57,165.75 and 82,209.94

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Solution

The third proportional to 57,165.75 and 82,209.94 is: 118,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,165.75 : 82,209.94 = 82,209.94 : x
  2. Step 2: Convert to fraction form
    57,165.75/82,209.94 = 82,209.94/x
  3. Step 3: Cross multiply
    57,165.75x = 82,209.94 × 82,209.94
  4. Step 4: Simplify right side
    57,165.75x = 6,758,473,823.75
  5. Step 5: Solve for x
    x = 6,758,473,823.75/57,165.75
  6. Step 6: Final answer
    x = 118,225.93

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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.