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Finding the Third Proportional to 125.87 and 192.56

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Solution

The third proportional to 125.87 and 192.56 is: 294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.87 : 192.56 = 192.56 : x
  2. Step 2: Convert to fraction form
    125.87/192.56 = 192.56/x
  3. Step 3: Cross multiply
    125.87x = 192.56 × 192.56
  4. Step 4: Simplify right side
    125.87x = 37,080.32
  5. Step 5: Solve for x
    x = 37,080.32/125.87
  6. Step 6: Final answer
    x = 294.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.