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Finding the Third Proportional to 51,165 and 67,338

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Solution

The third proportional to 51,165 and 67,338 is: 88,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,165 : 67,338 = 67,338 : x
  2. Step 2: Convert to fraction form
    51,165/67,338 = 67,338/x
  3. Step 3: Cross multiply
    51,165x = 67,338 × 67,338
  4. Step 4: Simplify right side
    51,165x = 4,534,406,244
  5. Step 5: Solve for x
    x = 4,534,406,244/51,165
  6. Step 6: Final answer
    x = 88,623.20

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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.