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Finding the Third Proportional to 125,646.56 and 270,975

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Solution

The third proportional to 125,646.56 and 270,975 is: 584,396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,646.56 : 270,975 = 270,975 : x
  2. Step 2: Convert to fraction form
    125,646.56/270,975 = 270,975/x
  3. Step 3: Cross multiply
    125,646.56x = 270,975 × 270,975
  4. Step 4: Simplify right side
    125,646.56x = 73,427,450,625
  5. Step 5: Solve for x
    x = 73,427,450,625/125,646.56
  6. Step 6: Final answer
    x = 584,396.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.