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Finding the Third Proportional to 34,167 and 51,942

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Solution

The third proportional to 34,167 and 51,942 is: 78,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,167 : 51,942 = 51,942 : x
  2. Step 2: Convert to fraction form
    34,167/51,942 = 51,942/x
  3. Step 3: Cross multiply
    34,167x = 51,942 × 51,942
  4. Step 4: Simplify right side
    34,167x = 2,697,971,364
  5. Step 5: Solve for x
    x = 2,697,971,364/34,167
  6. Step 6: Final answer
    x = 78,964.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.