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Finding the Third Proportional to 47,714.06 and 103,727.25

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Solution

The third proportional to 47,714.06 and 103,727.25 is: 225,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714.06 : 103,727.25 = 103,727.25 : x
  2. Step 2: Convert to fraction form
    47,714.06/103,727.25 = 103,727.25/x
  3. Step 3: Cross multiply
    47,714.06x = 103,727.25 × 103,727.25
  4. Step 4: Simplify right side
    47,714.06x = 10,759,342,392.56
  5. Step 5: Solve for x
    x = 10,759,342,392.56/47,714.06
  6. Step 6: Final answer
    x = 225,496.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.