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Finding the Third Proportional to 55,214 and 119,257

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Solution

The third proportional to 55,214 and 119,257 is: 257,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,214 : 119,257 = 119,257 : x
  2. Step 2: Convert to fraction form
    55,214/119,257 = 119,257/x
  3. Step 3: Cross multiply
    55,214x = 119,257 × 119,257
  4. Step 4: Simplify right side
    55,214x = 14,222,232,049
  5. Step 5: Solve for x
    x = 14,222,232,049/55,214
  6. Step 6: Final answer
    x = 257,583.80

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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.