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Finding the Third Proportional to 125,758.50 and 196,293

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Solution

The third proportional to 125,758.50 and 196,293 is: 306,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,758.50 : 196,293 = 196,293 : x
  2. Step 2: Convert to fraction form
    125,758.50/196,293 = 196,293/x
  3. Step 3: Cross multiply
    125,758.50x = 196,293 × 196,293
  4. Step 4: Simplify right side
    125,758.50x = 38,530,941,849
  5. Step 5: Solve for x
    x = 38,530,941,849/125,758.50
  6. Step 6: Final answer
    x = 306,388.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.