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Finding the Third Proportional to 137,640 and 203,898

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Solution

The third proportional to 137,640 and 203,898 is: 302,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640 : 203,898 = 203,898 : x
  2. Step 2: Convert to fraction form
    137,640/203,898 = 203,898/x
  3. Step 3: Cross multiply
    137,640x = 203,898 × 203,898
  4. Step 4: Simplify right side
    137,640x = 41,574,394,404
  5. Step 5: Solve for x
    x = 41,574,394,404/137,640
  6. Step 6: Final answer
    x = 302,051.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.