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Finding the Third Proportional to 56,474 and 120,184

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Solution

The third proportional to 56,474 and 120,184 is: 255,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,474 : 120,184 = 120,184 : x
  2. Step 2: Convert to fraction form
    56,474/120,184 = 120,184/x
  3. Step 3: Cross multiply
    56,474x = 120,184 × 120,184
  4. Step 4: Simplify right side
    56,474x = 14,444,193,856
  5. Step 5: Solve for x
    x = 14,444,193,856/56,474
  6. Step 6: Final answer
    x = 255,767.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.