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Finding the Third Proportional to 127,905.75 and 178,911.75

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Solution

The third proportional to 127,905.75 and 178,911.75 is: 250,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,905.75 : 178,911.75 = 178,911.75 : x
  2. Step 2: Convert to fraction form
    127,905.75/178,911.75 = 178,911.75/x
  3. Step 3: Cross multiply
    127,905.75x = 178,911.75 × 178,911.75
  4. Step 4: Simplify right side
    127,905.75x = 32,009,414,288.06
  5. Step 5: Solve for x
    x = 32,009,414,288.06/127,905.75
  6. Step 6: Final answer
    x = 250,257.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.