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Finding the Third Proportional to 55,286 and 119,212

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Solution

The third proportional to 55,286 and 119,212 is: 257,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286 : 119,212 = 119,212 : x
  2. Step 2: Convert to fraction form
    55,286/119,212 = 119,212/x
  3. Step 3: Cross multiply
    55,286x = 119,212 × 119,212
  4. Step 4: Simplify right side
    55,286x = 14,211,500,944
  5. Step 5: Solve for x
    x = 14,211,500,944/55,286
  6. Step 6: Final answer
    x = 257,054.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.