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Finding the Third Proportional to 52,884 and 93,942

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Solution

The third proportional to 52,884 and 93,942 is: 166,876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,884 : 93,942 = 93,942 : x
  2. Step 2: Convert to fraction form
    52,884/93,942 = 93,942/x
  3. Step 3: Cross multiply
    52,884x = 93,942 × 93,942
  4. Step 4: Simplify right side
    52,884x = 8,825,099,364
  5. Step 5: Solve for x
    x = 8,825,099,364/52,884
  6. Step 6: Final answer
    x = 166,876.55

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.