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Finding the Third Proportional to 112,054 and 234,494

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Solution

The third proportional to 112,054 and 234,494 is: 490,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,054 : 234,494 = 234,494 : x
  2. Step 2: Convert to fraction form
    112,054/234,494 = 234,494/x
  3. Step 3: Cross multiply
    112,054x = 234,494 × 234,494
  4. Step 4: Simplify right side
    112,054x = 54,987,436,036
  5. Step 5: Solve for x
    x = 54,987,436,036/112,054
  6. Step 6: Final answer
    x = 490,722.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.