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Finding the Third Proportional to 109,092 and 236,400

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Solution

The third proportional to 109,092 and 236,400 is: 512,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,092 : 236,400 = 236,400 : x
  2. Step 2: Convert to fraction form
    109,092/236,400 = 236,400/x
  3. Step 3: Cross multiply
    109,092x = 236,400 × 236,400
  4. Step 4: Simplify right side
    109,092x = 55,884,960,000
  5. Step 5: Solve for x
    x = 55,884,960,000/109,092
  6. Step 6: Final answer
    x = 512,273.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.