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Finding the Third Proportional to 70,438 and 95,936

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Solution

The third proportional to 70,438 and 95,936 is: 130,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,438 : 95,936 = 95,936 : x
  2. Step 2: Convert to fraction form
    70,438/95,936 = 95,936/x
  3. Step 3: Cross multiply
    70,438x = 95,936 × 95,936
  4. Step 4: Simplify right side
    70,438x = 9,203,716,096
  5. Step 5: Solve for x
    x = 9,203,716,096/70,438
  6. Step 6: Final answer
    x = 130,664.07

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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.