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Finding the Third Proportional to 42,800 and 92,368

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Solution

The third proportional to 42,800 and 92,368 is: 199,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,800 : 92,368 = 92,368 : x
  2. Step 2: Convert to fraction form
    42,800/92,368 = 92,368/x
  3. Step 3: Cross multiply
    42,800x = 92,368 × 92,368
  4. Step 4: Simplify right side
    42,800x = 8,531,847,424
  5. Step 5: Solve for x
    x = 8,531,847,424/42,800
  6. Step 6: Final answer
    x = 199,342.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.