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Finding the Third Proportional to 72,342 and 96,009

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Solution

The third proportional to 72,342 and 96,009 is: 127,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,342 : 96,009 = 96,009 : x
  2. Step 2: Convert to fraction form
    72,342/96,009 = 96,009/x
  3. Step 3: Cross multiply
    72,342x = 96,009 × 96,009
  4. Step 4: Simplify right side
    72,342x = 9,217,728,081
  5. Step 5: Solve for x
    x = 9,217,728,081/72,342
  6. Step 6: Final answer
    x = 127,418.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.