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Finding the Third Proportional to 102,105.56 and 145,845.56

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Solution

The third proportional to 102,105.56 and 145,845.56 is: 208,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,105.56 : 145,845.56 = 145,845.56 : x
  2. Step 2: Convert to fraction form
    102,105.56/145,845.56 = 145,845.56/x
  3. Step 3: Cross multiply
    102,105.56x = 145,845.56 × 145,845.56
  4. Step 4: Simplify right side
    102,105.56x = 21,270,928,100.94
  5. Step 5: Solve for x
    x = 21,270,928,100.94/102,105.56
  6. Step 6: Final answer
    x = 208,322.91

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.