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Finding the Third Proportional to 128,037.75 and 184,430.25

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Solution

The third proportional to 128,037.75 and 184,430.25 is: 265,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,037.75 : 184,430.25 = 184,430.25 : x
  2. Step 2: Convert to fraction form
    128,037.75/184,430.25 = 184,430.25/x
  3. Step 3: Cross multiply
    128,037.75x = 184,430.25 × 184,430.25
  4. Step 4: Simplify right side
    128,037.75x = 34,014,517,115.06
  5. Step 5: Solve for x
    x = 34,014,517,115.06/128,037.75
  6. Step 6: Final answer
    x = 265,660.07

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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.