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Finding the Third Proportional to 55,682 and 119,460

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Solution

The third proportional to 55,682 and 119,460 is: 256,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,682 : 119,460 = 119,460 : x
  2. Step 2: Convert to fraction form
    55,682/119,460 = 119,460/x
  3. Step 3: Cross multiply
    55,682x = 119,460 × 119,460
  4. Step 4: Simplify right side
    55,682x = 14,270,691,600
  5. Step 5: Solve for x
    x = 14,270,691,600/55,682
  6. Step 6: Final answer
    x = 256,289.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.