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Finding the Third Proportional to 122,801.06 and 184,657.64

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Solution

The third proportional to 122,801.06 and 184,657.64 is: 277,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,801.06 : 184,657.64 = 184,657.64 : x
  2. Step 2: Convert to fraction form
    122,801.06/184,657.64 = 184,657.64/x
  3. Step 3: Cross multiply
    122,801.06x = 184,657.64 × 184,657.64
  4. Step 4: Simplify right side
    122,801.06x = 34,098,444,241.19
  5. Step 5: Solve for x
    x = 34,098,444,241.19/122,801.06
  6. Step 6: Final answer
    x = 277,672.22

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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.