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Finding the Third Proportional to 62,198 and 136,058

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Solution

The third proportional to 62,198 and 136,058 is: 297,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,198 : 136,058 = 136,058 : x
  2. Step 2: Convert to fraction form
    62,198/136,058 = 136,058/x
  3. Step 3: Cross multiply
    62,198x = 136,058 × 136,058
  4. Step 4: Simplify right side
    62,198x = 18,511,779,364
  5. Step 5: Solve for x
    x = 18,511,779,364/62,198
  6. Step 6: Final answer
    x = 297,626.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.