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Finding the Third Proportional to 102,356.25 and 182,562.75

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Solution

The third proportional to 102,356.25 and 182,562.75 is: 325,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,356.25 : 182,562.75 = 182,562.75 : x
  2. Step 2: Convert to fraction form
    102,356.25/182,562.75 = 182,562.75/x
  3. Step 3: Cross multiply
    102,356.25x = 182,562.75 × 182,562.75
  4. Step 4: Simplify right side
    102,356.25x = 33,329,157,687.56
  5. Step 5: Solve for x
    x = 33,329,157,687.56/102,356.25
  6. Step 6: Final answer
    x = 325,619.18

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.