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Finding the Third Proportional to 109,650 and 239,100

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Solution

The third proportional to 109,650 and 239,100 is: 521,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,650 : 239,100 = 239,100 : x
  2. Step 2: Convert to fraction form
    109,650/239,100 = 239,100/x
  3. Step 3: Cross multiply
    109,650x = 239,100 × 239,100
  4. Step 4: Simplify right side
    109,650x = 57,168,810,000
  5. Step 5: Solve for x
    x = 57,168,810,000/109,650
  6. Step 6: Final answer
    x = 521,375.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.