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Finding the Third Proportional to 47,786 and 102,614

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Solution

The third proportional to 47,786 and 102,614 is: 220,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,786 : 102,614 = 102,614 : x
  2. Step 2: Convert to fraction form
    47,786/102,614 = 102,614/x
  3. Step 3: Cross multiply
    47,786x = 102,614 × 102,614
  4. Step 4: Simplify right side
    47,786x = 10,529,632,996
  5. Step 5: Solve for x
    x = 10,529,632,996/47,786
  6. Step 6: Final answer
    x = 220,349.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.