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Finding the Third Proportional to 70,436 and 95,934

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Solution

The third proportional to 70,436 and 95,934 is: 130,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,436 : 95,934 = 95,934 : x
  2. Step 2: Convert to fraction form
    70,436/95,934 = 95,934/x
  3. Step 3: Cross multiply
    70,436x = 95,934 × 95,934
  4. Step 4: Simplify right side
    70,436x = 9,203,332,356
  5. Step 5: Solve for x
    x = 9,203,332,356/70,436
  6. Step 6: Final answer
    x = 130,662.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.