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Finding the Third Proportional to 25,458 and 60,193

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Solution

The third proportional to 25,458 and 60,193 is: 142,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,458 : 60,193 = 60,193 : x
  2. Step 2: Convert to fraction form
    25,458/60,193 = 60,193/x
  3. Step 3: Cross multiply
    25,458x = 60,193 × 60,193
  4. Step 4: Simplify right side
    25,458x = 3,623,197,249
  5. Step 5: Solve for x
    x = 3,623,197,249/25,458
  6. Step 6: Final answer
    x = 142,320.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.