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Finding the Third Proportional to 107,714 and 220,792

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Solution

The third proportional to 107,714 and 220,792 is: 452,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,714 : 220,792 = 220,792 : x
  2. Step 2: Convert to fraction form
    107,714/220,792 = 220,792/x
  3. Step 3: Cross multiply
    107,714x = 220,792 × 220,792
  4. Step 4: Simplify right side
    107,714x = 48,749,107,264
  5. Step 5: Solve for x
    x = 48,749,107,264/107,714
  6. Step 6: Final answer
    x = 452,579.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.