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Finding the Third Proportional to 125,793 and 201,993.75

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Solution

The third proportional to 125,793 and 201,993.75 is: 324,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,793 : 201,993.75 = 201,993.75 : x
  2. Step 2: Convert to fraction form
    125,793/201,993.75 = 201,993.75/x
  3. Step 3: Cross multiply
    125,793x = 201,993.75 × 201,993.75
  4. Step 4: Simplify right side
    125,793x = 40,801,475,039.06
  5. Step 5: Solve for x
    x = 40,801,475,039.06/125,793
  6. Step 6: Final answer
    x = 324,354.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.