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Finding the Third Proportional to 54,567 and 106,893

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Solution

The third proportional to 54,567 and 106,893 is: 209,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,567 : 106,893 = 106,893 : x
  2. Step 2: Convert to fraction form
    54,567/106,893 = 106,893/x
  3. Step 3: Cross multiply
    54,567x = 106,893 × 106,893
  4. Step 4: Simplify right side
    54,567x = 11,426,113,449
  5. Step 5: Solve for x
    x = 11,426,113,449/54,567
  6. Step 6: Final answer
    x = 209,396.04

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.