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Finding the Third Proportional to 105,512 and 244,050

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Solution

The third proportional to 105,512 and 244,050 is: 564,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,512 : 244,050 = 244,050 : x
  2. Step 2: Convert to fraction form
    105,512/244,050 = 244,050/x
  3. Step 3: Cross multiply
    105,512x = 244,050 × 244,050
  4. Step 4: Simplify right side
    105,512x = 59,560,402,500
  5. Step 5: Solve for x
    x = 59,560,402,500/105,512
  6. Step 6: Final answer
    x = 564,489.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.