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Finding the Third Proportional to 122,924 and 184,482

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Solution

The third proportional to 122,924 and 184,482 is: 276,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,924 : 184,482 = 184,482 : x
  2. Step 2: Convert to fraction form
    122,924/184,482 = 184,482/x
  3. Step 3: Cross multiply
    122,924x = 184,482 × 184,482
  4. Step 4: Simplify right side
    122,924x = 34,033,608,324
  5. Step 5: Solve for x
    x = 34,033,608,324/122,924
  6. Step 6: Final answer
    x = 276,867.07

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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.