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Finding the Third Proportional to 122,990.06 and 184,864.78

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Solution

The third proportional to 122,990.06 and 184,864.78 is: 277,867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,990.06 : 184,864.78 = 184,864.78 : x
  2. Step 2: Convert to fraction form
    122,990.06/184,864.78 = 184,864.78/x
  3. Step 3: Cross multiply
    122,990.06x = 184,864.78 × 184,864.78
  4. Step 4: Simplify right side
    122,990.06x = 34,174,987,346.61
  5. Step 5: Solve for x
    x = 34,174,987,346.61/122,990.06
  6. Step 6: Final answer
    x = 277,867.88

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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.