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Finding the Third Proportional to 135,714 and 275,072.25

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Solution

The third proportional to 135,714 and 275,072.25 is: 557,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,714 : 275,072.25 = 275,072.25 : x
  2. Step 2: Convert to fraction form
    135,714/275,072.25 = 275,072.25/x
  3. Step 3: Cross multiply
    135,714x = 275,072.25 × 275,072.25
  4. Step 4: Simplify right side
    135,714x = 75,664,742,720.06
  5. Step 5: Solve for x
    x = 75,664,742,720.06/135,714
  6. Step 6: Final answer
    x = 557,530.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.