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Finding the Third Proportional to 67,747 and 95,317

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Solution

The third proportional to 67,747 and 95,317 is: 134,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,747 : 95,317 = 95,317 : x
  2. Step 2: Convert to fraction form
    67,747/95,317 = 95,317/x
  3. Step 3: Cross multiply
    67,747x = 95,317 × 95,317
  4. Step 4: Simplify right side
    67,747x = 9,085,330,489
  5. Step 5: Solve for x
    x = 9,085,330,489/67,747
  6. Step 6: Final answer
    x = 134,106.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.