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Finding the Third Proportional to 56,974 and 120,512

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Solution

The third proportional to 56,974 and 120,512 is: 254,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,974 : 120,512 = 120,512 : x
  2. Step 2: Convert to fraction form
    56,974/120,512 = 120,512/x
  3. Step 3: Cross multiply
    56,974x = 120,512 × 120,512
  4. Step 4: Simplify right side
    56,974x = 14,523,142,144
  5. Step 5: Solve for x
    x = 14,523,142,144/56,974
  6. Step 6: Final answer
    x = 254,908.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.