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Finding the Third Proportional to 107,572 and 219,896

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Solution

The third proportional to 107,572 and 219,896 is: 449,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,572 : 219,896 = 219,896 : x
  2. Step 2: Convert to fraction form
    107,572/219,896 = 219,896/x
  3. Step 3: Cross multiply
    107,572x = 219,896 × 219,896
  4. Step 4: Simplify right side
    107,572x = 48,354,250,816
  5. Step 5: Solve for x
    x = 48,354,250,816/107,572
  6. Step 6: Final answer
    x = 449,505.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.