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Finding the Third Proportional to 57,000.25 and 85,181

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Solution

The third proportional to 57,000.25 and 85,181 is: 127,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,000.25 : 85,181 = 85,181 : x
  2. Step 2: Convert to fraction form
    57,000.25/85,181 = 85,181/x
  3. Step 3: Cross multiply
    57,000.25x = 85,181 × 85,181
  4. Step 4: Simplify right side
    57,000.25x = 7,255,802,761
  5. Step 5: Solve for x
    x = 7,255,802,761/57,000.25
  6. Step 6: Final answer
    x = 127,294.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.