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Finding the Third Proportional to 73,586.25 and 163,827

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Solution

The third proportional to 73,586.25 and 163,827 is: 364,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,586.25 : 163,827 = 163,827 : x
  2. Step 2: Convert to fraction form
    73,586.25/163,827 = 163,827/x
  3. Step 3: Cross multiply
    73,586.25x = 163,827 × 163,827
  4. Step 4: Simplify right side
    73,586.25x = 26,839,285,929
  5. Step 5: Solve for x
    x = 26,839,285,929/73,586.25
  6. Step 6: Final answer
    x = 364,732.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.