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Finding the Third Proportional to 103,219.25 and 145,356.25

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Solution

The third proportional to 103,219.25 and 145,356.25 is: 204,694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,219.25 : 145,356.25 = 145,356.25 : x
  2. Step 2: Convert to fraction form
    103,219.25/145,356.25 = 145,356.25/x
  3. Step 3: Cross multiply
    103,219.25x = 145,356.25 × 145,356.25
  4. Step 4: Simplify right side
    103,219.25x = 21,128,439,414.06
  5. Step 5: Solve for x
    x = 21,128,439,414.06/103,219.25
  6. Step 6: Final answer
    x = 204,694.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.