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Finding the Third Proportional to 109,092 and 239,004

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Solution

The third proportional to 109,092 and 239,004 is: 523,621.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,092 : 239,004 = 239,004 : x
  2. Step 2: Convert to fraction form
    109,092/239,004 = 239,004/x
  3. Step 3: Cross multiply
    109,092x = 239,004 × 239,004
  4. Step 4: Simplify right side
    109,092x = 57,122,912,016
  5. Step 5: Solve for x
    x = 57,122,912,016/109,092
  6. Step 6: Final answer
    x = 523,621.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.