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Finding the Third Proportional to 54,895 and 112,381

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Solution

The third proportional to 54,895 and 112,381 is: 230,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,895 : 112,381 = 112,381 : x
  2. Step 2: Convert to fraction form
    54,895/112,381 = 112,381/x
  3. Step 3: Cross multiply
    54,895x = 112,381 × 112,381
  4. Step 4: Simplify right side
    54,895x = 12,629,489,161
  5. Step 5: Solve for x
    x = 12,629,489,161/54,895
  6. Step 6: Final answer
    x = 230,066.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.