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Finding the Third Proportional to 125,646.75 and 270,975.38

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Solution

The third proportional to 125,646.75 and 270,975.38 is: 584,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,646.75 : 270,975.38 = 270,975.38 : x
  2. Step 2: Convert to fraction form
    125,646.75/270,975.38 = 270,975.38/x
  3. Step 3: Cross multiply
    125,646.75x = 270,975.38 × 270,975.38
  4. Step 4: Simplify right side
    125,646.75x = 73,427,653,856.39
  5. Step 5: Solve for x
    x = 73,427,653,856.39/125,646.75
  6. Step 6: Final answer
    x = 584,397.56

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