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Finding the Third Proportional to 57,413 and 85,299

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Solution

The third proportional to 57,413 and 85,299 is: 126,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,413 : 85,299 = 85,299 : x
  2. Step 2: Convert to fraction form
    57,413/85,299 = 85,299/x
  3. Step 3: Cross multiply
    57,413x = 85,299 × 85,299
  4. Step 4: Simplify right side
    57,413x = 7,275,919,401
  5. Step 5: Solve for x
    x = 7,275,919,401/57,413
  6. Step 6: Final answer
    x = 126,729.48

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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.