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Finding the Third Proportional to 112,243 and 244,125

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Solution

The third proportional to 112,243 and 244,125 is: 530,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,243 : 244,125 = 244,125 : x
  2. Step 2: Convert to fraction form
    112,243/244,125 = 244,125/x
  3. Step 3: Cross multiply
    112,243x = 244,125 × 244,125
  4. Step 4: Simplify right side
    112,243x = 59,597,015,625
  5. Step 5: Solve for x
    x = 59,597,015,625/112,243
  6. Step 6: Final answer
    x = 530,964.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.