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Finding the Third Proportional to 105,043 and 151,003

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Solution

The third proportional to 105,043 and 151,003 is: 217,072.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,043 : 151,003 = 151,003 : x
  2. Step 2: Convert to fraction form
    105,043/151,003 = 151,003/x
  3. Step 3: Cross multiply
    105,043x = 151,003 × 151,003
  4. Step 4: Simplify right side
    105,043x = 22,801,906,009
  5. Step 5: Solve for x
    x = 22,801,906,009/105,043
  6. Step 6: Final answer
    x = 217,072.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.