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Finding the Third Proportional to 107,714 and 164,487

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Solution

The third proportional to 107,714 and 164,487 is: 251,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,714 : 164,487 = 164,487 : x
  2. Step 2: Convert to fraction form
    107,714/164,487 = 164,487/x
  3. Step 3: Cross multiply
    107,714x = 164,487 × 164,487
  4. Step 4: Simplify right side
    107,714x = 27,055,973,169
  5. Step 5: Solve for x
    x = 27,055,973,169/107,714
  6. Step 6: Final answer
    x = 251,183.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.