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Finding the Third Proportional to 72,335 and 111,992

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Solution

The third proportional to 72,335 and 111,992 is: 173,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,335 : 111,992 = 111,992 : x
  2. Step 2: Convert to fraction form
    72,335/111,992 = 111,992/x
  3. Step 3: Cross multiply
    72,335x = 111,992 × 111,992
  4. Step 4: Simplify right side
    72,335x = 12,542,208,064
  5. Step 5: Solve for x
    x = 12,542,208,064/72,335
  6. Step 6: Final answer
    x = 173,390.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.