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Finding the Third Proportional to 72,936 and 93,204

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Solution

The third proportional to 72,936 and 93,204 is: 119,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,936 : 93,204 = 93,204 : x
  2. Step 2: Convert to fraction form
    72,936/93,204 = 93,204/x
  3. Step 3: Cross multiply
    72,936x = 93,204 × 93,204
  4. Step 4: Simplify right side
    72,936x = 8,686,985,616
  5. Step 5: Solve for x
    x = 8,686,985,616/72,936
  6. Step 6: Final answer
    x = 119,104.22

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.