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Finding the Third Proportional to 135,714 and 195,507

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Solution

The third proportional to 135,714 and 195,507 is: 281,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,714 : 195,507 = 195,507 : x
  2. Step 2: Convert to fraction form
    135,714/195,507 = 195,507/x
  3. Step 3: Cross multiply
    135,714x = 195,507 × 195,507
  4. Step 4: Simplify right side
    135,714x = 38,222,987,049
  5. Step 5: Solve for x
    x = 38,222,987,049/135,714
  6. Step 6: Final answer
    x = 281,643.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.