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Finding the Third Proportional to 46,741 and 102,047

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Solution

The third proportional to 46,741 and 102,047 is: 222,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,741 : 102,047 = 102,047 : x
  2. Step 2: Convert to fraction form
    46,741/102,047 = 102,047/x
  3. Step 3: Cross multiply
    46,741x = 102,047 × 102,047
  4. Step 4: Simplify right side
    46,741x = 10,413,590,209
  5. Step 5: Solve for x
    x = 10,413,590,209/46,741
  6. Step 6: Final answer
    x = 222,793.48

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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.