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Finding the Third Proportional to 56,296 and 120,458

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Solution

The third proportional to 56,296 and 120,458 is: 257,747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,296 : 120,458 = 120,458 : x
  2. Step 2: Convert to fraction form
    56,296/120,458 = 120,458/x
  3. Step 3: Cross multiply
    56,296x = 120,458 × 120,458
  4. Step 4: Simplify right side
    56,296x = 14,510,129,764
  5. Step 5: Solve for x
    x = 14,510,129,764/56,296
  6. Step 6: Final answer
    x = 257,747.08

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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.