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Finding the Third Proportional to 126,881.44 and 184,325.63

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Solution

The third proportional to 126,881.44 and 184,325.63 is: 267,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,881.44 : 184,325.63 = 184,325.63 : x
  2. Step 2: Convert to fraction form
    126,881.44/184,325.63 = 184,325.63/x
  3. Step 3: Cross multiply
    126,881.44x = 184,325.63 × 184,325.63
  4. Step 4: Simplify right side
    126,881.44x = 33,975,936,031.64
  5. Step 5: Solve for x
    x = 33,975,936,031.64/126,881.44
  6. Step 6: Final answer
    x = 267,777.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.