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Finding the Third Proportional to 56,286 and 120,106

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Solution

The third proportional to 56,286 and 120,106 is: 256,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,286 : 120,106 = 120,106 : x
  2. Step 2: Convert to fraction form
    56,286/120,106 = 120,106/x
  3. Step 3: Cross multiply
    56,286x = 120,106 × 120,106
  4. Step 4: Simplify right side
    56,286x = 14,425,451,236
  5. Step 5: Solve for x
    x = 14,425,451,236/56,286
  6. Step 6: Final answer
    x = 256,288.44

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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.