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Finding the Third Proportional to 125,205.75 and 200,019.38

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Solution

The third proportional to 125,205.75 and 200,019.38 is: 319,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,205.75 : 200,019.38 = 200,019.38 : x
  2. Step 2: Convert to fraction form
    125,205.75/200,019.38 = 200,019.38/x
  3. Step 3: Cross multiply
    125,205.75x = 200,019.38 × 200,019.38
  4. Step 4: Simplify right side
    125,205.75x = 40,007,750,375.39
  5. Step 5: Solve for x
    x = 40,007,750,375.39/125,205.75
  6. Step 6: Final answer
    x = 319,536.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.