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Finding the Third Proportional to 57,992 and 84,940

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Solution

The third proportional to 57,992 and 84,940 is: 124,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,992 : 84,940 = 84,940 : x
  2. Step 2: Convert to fraction form
    57,992/84,940 = 84,940/x
  3. Step 3: Cross multiply
    57,992x = 84,940 × 84,940
  4. Step 4: Simplify right side
    57,992x = 7,214,803,600
  5. Step 5: Solve for x
    x = 7,214,803,600/57,992
  6. Step 6: Final answer
    x = 124,410.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.