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Finding the Third Proportional to 47,403 and 109,739.25

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Solution

The third proportional to 47,403 and 109,739.25 is: 254,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,403 : 109,739.25 = 109,739.25 : x
  2. Step 2: Convert to fraction form
    47,403/109,739.25 = 109,739.25/x
  3. Step 3: Cross multiply
    47,403x = 109,739.25 × 109,739.25
  4. Step 4: Simplify right side
    47,403x = 12,042,702,990.56
  5. Step 5: Solve for x
    x = 12,042,702,990.56/47,403
  6. Step 6: Final answer
    x = 254,049.38

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.