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Finding the Third Proportional to 122,814 and 183,462

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Solution

The third proportional to 122,814 and 183,462 is: 274,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,814 : 183,462 = 183,462 : x
  2. Step 2: Convert to fraction form
    122,814/183,462 = 183,462/x
  3. Step 3: Cross multiply
    122,814x = 183,462 × 183,462
  4. Step 4: Simplify right side
    122,814x = 33,658,305,444
  5. Step 5: Solve for x
    x = 33,658,305,444/122,814
  6. Step 6: Final answer
    x = 274,059.19

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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.