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Finding the Third Proportional to 55,898 and 119,794

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Solution

The third proportional to 55,898 and 119,794 is: 256,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,898 : 119,794 = 119,794 : x
  2. Step 2: Convert to fraction form
    55,898/119,794 = 119,794/x
  3. Step 3: Cross multiply
    55,898x = 119,794 × 119,794
  4. Step 4: Simplify right side
    55,898x = 14,350,602,436
  5. Step 5: Solve for x
    x = 14,350,602,436/55,898
  6. Step 6: Final answer
    x = 256,728.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.