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Finding the Third Proportional to 109,096 and 237,904

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Solution

The third proportional to 109,096 and 237,904 is: 518,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,096 : 237,904 = 237,904 : x
  2. Step 2: Convert to fraction form
    109,096/237,904 = 237,904/x
  3. Step 3: Cross multiply
    109,096x = 237,904 × 237,904
  4. Step 4: Simplify right side
    109,096x = 56,598,313,216
  5. Step 5: Solve for x
    x = 56,598,313,216/109,096
  6. Step 6: Final answer
    x = 518,793.66

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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.