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Finding the Third Proportional to 47,749 and 104,056

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Solution

The third proportional to 47,749 and 104,056 is: 226,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,749 : 104,056 = 104,056 : x
  2. Step 2: Convert to fraction form
    47,749/104,056 = 104,056/x
  3. Step 3: Cross multiply
    47,749x = 104,056 × 104,056
  4. Step 4: Simplify right side
    47,749x = 10,827,651,136
  5. Step 5: Solve for x
    x = 10,827,651,136/47,749
  6. Step 6: Final answer
    x = 226,761.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.