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Finding the Third Proportional to 57,970 and 122,167

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Solution

The third proportional to 57,970 and 122,167 is: 257,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,970 : 122,167 = 122,167 : x
  2. Step 2: Convert to fraction form
    57,970/122,167 = 122,167/x
  3. Step 3: Cross multiply
    57,970x = 122,167 × 122,167
  4. Step 4: Simplify right side
    57,970x = 14,924,775,889
  5. Step 5: Solve for x
    x = 14,924,775,889/57,970
  6. Step 6: Final answer
    x = 257,456.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.