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Finding the Third Proportional to 49,043 and 109,190

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Solution

The third proportional to 49,043 and 109,190 is: 243,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,043 : 109,190 = 109,190 : x
  2. Step 2: Convert to fraction form
    49,043/109,190 = 109,190/x
  3. Step 3: Cross multiply
    49,043x = 109,190 × 109,190
  4. Step 4: Simplify right side
    49,043x = 11,922,456,100
  5. Step 5: Solve for x
    x = 11,922,456,100/49,043
  6. Step 6: Final answer
    x = 243,102.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.