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Finding the Third Proportional to 72,326 and 111,979

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Solution

The third proportional to 72,326 and 111,979 is: 173,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,326 : 111,979 = 111,979 : x
  2. Step 2: Convert to fraction form
    72,326/111,979 = 111,979/x
  3. Step 3: Cross multiply
    72,326x = 111,979 × 111,979
  4. Step 4: Simplify right side
    72,326x = 12,539,296,441
  5. Step 5: Solve for x
    x = 12,539,296,441/72,326
  6. Step 6: Final answer
    x = 173,371.91

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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.