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Finding the Third Proportional to 75,878.44 and 164,232.56

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Solution

The third proportional to 75,878.44 and 164,232.56 is: 355,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.44 : 164,232.56 = 164,232.56 : x
  2. Step 2: Convert to fraction form
    75,878.44/164,232.56 = 164,232.56/x
  3. Step 3: Cross multiply
    75,878.44x = 164,232.56 × 164,232.56
  4. Step 4: Simplify right side
    75,878.44x = 26,972,334,585.32
  5. Step 5: Solve for x
    x = 26,972,334,585.32/75,878.44
  6. Step 6: Final answer
    x = 355,467.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.