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Finding the Third Proportional to 125,903.25 and 270,442.13

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Solution

The third proportional to 125,903.25 and 270,442.13 is: 580,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,903.25 : 270,442.13 = 270,442.13 : x
  2. Step 2: Convert to fraction form
    125,903.25/270,442.13 = 270,442.13/x
  3. Step 3: Cross multiply
    125,903.25x = 270,442.13 × 270,442.13
  4. Step 4: Simplify right side
    125,903.25x = 73,138,942,974.52
  5. Step 5: Solve for x
    x = 73,138,942,974.52/125,903.25
  6. Step 6: Final answer
    x = 580,913.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.