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Finding the Third Proportional to 125,134 and 193,922

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Solution

The third proportional to 125,134 and 193,922 is: 300,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,134 : 193,922 = 193,922 : x
  2. Step 2: Convert to fraction form
    125,134/193,922 = 193,922/x
  3. Step 3: Cross multiply
    125,134x = 193,922 × 193,922
  4. Step 4: Simplify right side
    125,134x = 37,605,742,084
  5. Step 5: Solve for x
    x = 37,605,742,084/125,134
  6. Step 6: Final answer
    x = 300,523.78

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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.