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Finding the Third Proportional to 47,009 and 103,321

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Solution

The third proportional to 47,009 and 103,321 is: 227,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,009 : 103,321 = 103,321 : x
  2. Step 2: Convert to fraction form
    47,009/103,321 = 103,321/x
  3. Step 3: Cross multiply
    47,009x = 103,321 × 103,321
  4. Step 4: Simplify right side
    47,009x = 10,675,229,041
  5. Step 5: Solve for x
    x = 10,675,229,041/47,009
  6. Step 6: Final answer
    x = 227,089.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.