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Finding the Third Proportional to 123,011 and 183,873

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Solution

The third proportional to 123,011 and 183,873 is: 274,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,011 : 183,873 = 183,873 : x
  2. Step 2: Convert to fraction form
    123,011/183,873 = 183,873/x
  3. Step 3: Cross multiply
    123,011x = 183,873 × 183,873
  4. Step 4: Simplify right side
    123,011x = 33,809,280,129
  5. Step 5: Solve for x
    x = 33,809,280,129/123,011
  6. Step 6: Final answer
    x = 274,847.62

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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.