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Finding the Third Proportional to 122,024 and 184,539

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Solution

The third proportional to 122,024 and 184,539 is: 279,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,024 : 184,539 = 184,539 : x
  2. Step 2: Convert to fraction form
    122,024/184,539 = 184,539/x
  3. Step 3: Cross multiply
    122,024x = 184,539 × 184,539
  4. Step 4: Simplify right side
    122,024x = 34,054,642,521
  5. Step 5: Solve for x
    x = 34,054,642,521/122,024
  6. Step 6: Final answer
    x = 279,081.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.