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Finding the Third Proportional to 46,854 and 100,872

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Solution

The third proportional to 46,854 and 100,872 is: 217,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,854 : 100,872 = 100,872 : x
  2. Step 2: Convert to fraction form
    46,854/100,872 = 100,872/x
  3. Step 3: Cross multiply
    46,854x = 100,872 × 100,872
  4. Step 4: Simplify right side
    46,854x = 10,175,160,384
  5. Step 5: Solve for x
    x = 10,175,160,384/46,854
  6. Step 6: Final answer
    x = 217,167.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.