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Finding the Third Proportional to 47,941 and 104,533

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Solution

The third proportional to 47,941 and 104,533 is: 227,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,941 : 104,533 = 104,533 : x
  2. Step 2: Convert to fraction form
    47,941/104,533 = 104,533/x
  3. Step 3: Cross multiply
    47,941x = 104,533 × 104,533
  4. Step 4: Simplify right side
    47,941x = 10,927,148,089
  5. Step 5: Solve for x
    x = 10,927,148,089/47,941
  6. Step 6: Final answer
    x = 227,929.08

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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.