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Finding the Third Proportional to 57,006 and 85,851

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Solution

The third proportional to 57,006 and 85,851 is: 129,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,006 : 85,851 = 85,851 : x
  2. Step 2: Convert to fraction form
    57,006/85,851 = 85,851/x
  3. Step 3: Cross multiply
    57,006x = 85,851 × 85,851
  4. Step 4: Simplify right side
    57,006x = 7,370,394,201
  5. Step 5: Solve for x
    x = 7,370,394,201/57,006
  6. Step 6: Final answer
    x = 129,291.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.