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Finding the Third Proportional to 43,434 and 103,397

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Solution

The third proportional to 43,434 and 103,397 is: 246,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,434 : 103,397 = 103,397 : x
  2. Step 2: Convert to fraction form
    43,434/103,397 = 103,397/x
  3. Step 3: Cross multiply
    43,434x = 103,397 × 103,397
  4. Step 4: Simplify right side
    43,434x = 10,690,939,609
  5. Step 5: Solve for x
    x = 10,690,939,609/43,434
  6. Step 6: Final answer
    x = 246,142.18

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.