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Finding the Third Proportional to 104,292.56 and 145,093.78

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Solution

The third proportional to 104,292.56 and 145,093.78 is: 201,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,292.56 : 145,093.78 = 145,093.78 : x
  2. Step 2: Convert to fraction form
    104,292.56/145,093.78 = 145,093.78/x
  3. Step 3: Cross multiply
    104,292.56x = 145,093.78 × 145,093.78
  4. Step 4: Simplify right side
    104,292.56x = 21,052,205,357.42
  5. Step 5: Solve for x
    x = 21,052,205,357.42/104,292.56
  6. Step 6: Final answer
    x = 201,857.21

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.