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Finding the Third Proportional to 128,035.50 and 184,427.25

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Solution

The third proportional to 128,035.50 and 184,427.25 is: 265,656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,035.50 : 184,427.25 = 184,427.25 : x
  2. Step 2: Convert to fraction form
    128,035.50/184,427.25 = 184,427.25/x
  3. Step 3: Cross multiply
    128,035.50x = 184,427.25 × 184,427.25
  4. Step 4: Simplify right side
    128,035.50x = 34,013,410,542.56
  5. Step 5: Solve for x
    x = 34,013,410,542.56/128,035.50
  6. Step 6: Final answer
    x = 265,656.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.