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Finding the Third Proportional to 109,094 and 239,008

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Solution

The third proportional to 109,094 and 239,008 is: 523,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,094 : 239,008 = 239,008 : x
  2. Step 2: Convert to fraction form
    109,094/239,008 = 239,008/x
  3. Step 3: Cross multiply
    109,094x = 239,008 × 239,008
  4. Step 4: Simplify right side
    109,094x = 57,124,824,064
  5. Step 5: Solve for x
    x = 57,124,824,064/109,094
  6. Step 6: Final answer
    x = 523,629.38

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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.