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Finding the Third Proportional to 70,438 and 95,935

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Solution

The third proportional to 70,438 and 95,935 is: 130,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,438 : 95,935 = 95,935 : x
  2. Step 2: Convert to fraction form
    70,438/95,935 = 95,935/x
  3. Step 3: Cross multiply
    70,438x = 95,935 × 95,935
  4. Step 4: Simplify right side
    70,438x = 9,203,524,225
  5. Step 5: Solve for x
    x = 9,203,524,225/70,438
  6. Step 6: Final answer
    x = 130,661.35

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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.