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Finding the Third Proportional to 56,504 and 121,759

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Solution

The third proportional to 56,504 and 121,759 is: 262,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,504 : 121,759 = 121,759 : x
  2. Step 2: Convert to fraction form
    56,504/121,759 = 121,759/x
  3. Step 3: Cross multiply
    56,504x = 121,759 × 121,759
  4. Step 4: Simplify right side
    56,504x = 14,825,254,081
  5. Step 5: Solve for x
    x = 14,825,254,081/56,504
  6. Step 6: Final answer
    x = 262,375.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.