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Finding the Third Proportional to 128,025.56 and 184,411.69

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Solution

The third proportional to 128,025.56 and 184,411.69 is: 265,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,025.56 : 184,411.69 = 184,411.69 : x
  2. Step 2: Convert to fraction form
    128,025.56/184,411.69 = 184,411.69/x
  3. Step 3: Cross multiply
    128,025.56x = 184,411.69 × 184,411.69
  4. Step 4: Simplify right side
    128,025.56x = 34,007,670,486.60
  5. Step 5: Solve for x
    x = 34,007,670,486.60/128,025.56
  6. Step 6: Final answer
    x = 265,631.88

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