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Finding the Third Proportional to 51,167 and 67,341

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Solution

The third proportional to 51,167 and 67,341 is: 88,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,167 : 67,341 = 67,341 : x
  2. Step 2: Convert to fraction form
    51,167/67,341 = 67,341/x
  3. Step 3: Cross multiply
    51,167x = 67,341 × 67,341
  4. Step 4: Simplify right side
    51,167x = 4,534,810,281
  5. Step 5: Solve for x
    x = 4,534,810,281/51,167
  6. Step 6: Final answer
    x = 88,627.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.