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Finding the Third Proportional to 123,042 and 184,562

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Solution

The third proportional to 123,042 and 184,562 is: 276,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,042 : 184,562 = 184,562 : x
  2. Step 2: Convert to fraction form
    123,042/184,562 = 184,562/x
  3. Step 3: Cross multiply
    123,042x = 184,562 × 184,562
  4. Step 4: Simplify right side
    123,042x = 34,063,131,844
  5. Step 5: Solve for x
    x = 34,063,131,844/123,042
  6. Step 6: Final answer
    x = 276,841.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.