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Finding the Third Proportional to 44,560 and 105,568

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Solution

The third proportional to 44,560 and 105,568 is: 250,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,560 : 105,568 = 105,568 : x
  2. Step 2: Convert to fraction form
    44,560/105,568 = 105,568/x
  3. Step 3: Cross multiply
    44,560x = 105,568 × 105,568
  4. Step 4: Simplify right side
    44,560x = 11,144,602,624
  5. Step 5: Solve for x
    x = 11,144,602,624/44,560
  6. Step 6: Final answer
    x = 250,103.29

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.