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Finding the Third Proportional to 109,367 and 156,394

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Solution

The third proportional to 109,367 and 156,394 is: 223,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,367 : 156,394 = 156,394 : x
  2. Step 2: Convert to fraction form
    109,367/156,394 = 156,394/x
  3. Step 3: Cross multiply
    109,367x = 156,394 × 156,394
  4. Step 4: Simplify right side
    109,367x = 24,459,083,236
  5. Step 5: Solve for x
    x = 24,459,083,236/109,367
  6. Step 6: Final answer
    x = 223,642.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.