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Finding the Third Proportional to 57,189.75 and 82,503.75

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Solution

The third proportional to 57,189.75 and 82,503.75 is: 119,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,189.75 : 82,503.75 = 82,503.75 : x
  2. Step 2: Convert to fraction form
    57,189.75/82,503.75 = 82,503.75/x
  3. Step 3: Cross multiply
    57,189.75x = 82,503.75 × 82,503.75
  4. Step 4: Simplify right side
    57,189.75x = 6,806,868,764.06
  5. Step 5: Solve for x
    x = 6,806,868,764.06/57,189.75
  6. Step 6: Final answer
    x = 119,022.53

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Why These Related Problems?

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