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Finding the Third Proportional to 49,047 and 105,873

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Solution

The third proportional to 49,047 and 105,873 is: 228,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,047 : 105,873 = 105,873 : x
  2. Step 2: Convert to fraction form
    49,047/105,873 = 105,873/x
  3. Step 3: Cross multiply
    49,047x = 105,873 × 105,873
  4. Step 4: Simplify right side
    49,047x = 11,209,092,129
  5. Step 5: Solve for x
    x = 11,209,092,129/49,047
  6. Step 6: Final answer
    x = 228,537.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.