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Finding the Third Proportional to 125,148.38 and 193,797.56

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Solution

The third proportional to 125,148.38 and 193,797.56 is: 300,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,148.38 : 193,797.56 = 193,797.56 : x
  2. Step 2: Convert to fraction form
    125,148.38/193,797.56 = 193,797.56/x
  3. Step 3: Cross multiply
    125,148.38x = 193,797.56 × 193,797.56
  4. Step 4: Simplify right side
    125,148.38x = 37,557,495,230.94
  5. Step 5: Solve for x
    x = 37,557,495,230.94/125,148.38
  6. Step 6: Final answer
    x = 300,103.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.