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Finding the Third Proportional to 60,595 and 126,758

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Solution

The third proportional to 60,595 and 126,758 is: 265,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,595 : 126,758 = 126,758 : x
  2. Step 2: Convert to fraction form
    60,595/126,758 = 126,758/x
  3. Step 3: Cross multiply
    60,595x = 126,758 × 126,758
  4. Step 4: Simplify right side
    60,595x = 16,067,590,564
  5. Step 5: Solve for x
    x = 16,067,590,564/60,595
  6. Step 6: Final answer
    x = 265,163.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.