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Finding the Third Proportional to 127,850.06 and 191,775.09

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Solution

The third proportional to 127,850.06 and 191,775.09 is: 287,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,850.06 : 191,775.09 = 191,775.09 : x
  2. Step 2: Convert to fraction form
    127,850.06/191,775.09 = 191,775.09/x
  3. Step 3: Cross multiply
    127,850.06x = 191,775.09 × 191,775.09
  4. Step 4: Simplify right side
    127,850.06x = 36,777,686,582.82
  5. Step 5: Solve for x
    x = 36,777,686,582.82/127,850.06
  6. Step 6: Final answer
    x = 287,662.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.