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Finding the Third Proportional to 104,005.50 and 202,827

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Solution

The third proportional to 104,005.50 and 202,827 is: 395,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,005.50 : 202,827 = 202,827 : x
  2. Step 2: Convert to fraction form
    104,005.50/202,827 = 202,827/x
  3. Step 3: Cross multiply
    104,005.50x = 202,827 × 202,827
  4. Step 4: Simplify right side
    104,005.50x = 41,138,791,929
  5. Step 5: Solve for x
    x = 41,138,791,929/104,005.50
  6. Step 6: Final answer
    x = 395,544.39

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.