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Finding the Third Proportional to 123,027 and 183,898

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Solution

The third proportional to 123,027 and 183,898 is: 274,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,027 : 183,898 = 183,898 : x
  2. Step 2: Convert to fraction form
    123,027/183,898 = 183,898/x
  3. Step 3: Cross multiply
    123,027x = 183,898 × 183,898
  4. Step 4: Simplify right side
    123,027x = 33,818,474,404
  5. Step 5: Solve for x
    x = 33,818,474,404/123,027
  6. Step 6: Final answer
    x = 274,886.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.