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Finding the Third Proportional to 79,004 and 125,644

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Solution

The third proportional to 79,004 and 125,644 is: 199,817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,004 : 125,644 = 125,644 : x
  2. Step 2: Convert to fraction form
    79,004/125,644 = 125,644/x
  3. Step 3: Cross multiply
    79,004x = 125,644 × 125,644
  4. Step 4: Simplify right side
    79,004x = 15,786,414,736
  5. Step 5: Solve for x
    x = 15,786,414,736/79,004
  6. Step 6: Final answer
    x = 199,817.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.