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Finding the Third Proportional to 140,536 and 184,512.75

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Solution

The third proportional to 140,536 and 184,512.75 is: 242,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,536 : 184,512.75 = 184,512.75 : x
  2. Step 2: Convert to fraction form
    140,536/184,512.75 = 184,512.75/x
  3. Step 3: Cross multiply
    140,536x = 184,512.75 × 184,512.75
  4. Step 4: Simplify right side
    140,536x = 34,044,954,912.56
  5. Step 5: Solve for x
    x = 34,044,954,912.56/140,536
  6. Step 6: Final answer
    x = 242,250.77

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.