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Finding the Third Proportional to 56,074 and 119,925

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Solution

The third proportional to 56,074 and 119,925 is: 256,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,074 : 119,925 = 119,925 : x
  2. Step 2: Convert to fraction form
    56,074/119,925 = 119,925/x
  3. Step 3: Cross multiply
    56,074x = 119,925 × 119,925
  4. Step 4: Simplify right side
    56,074x = 14,382,005,625
  5. Step 5: Solve for x
    x = 14,382,005,625/56,074
  6. Step 6: Final answer
    x = 256,482.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.