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Finding the Third Proportional to 101,003 and 149,551

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Solution

The third proportional to 101,003 and 149,551 is: 221,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,003 : 149,551 = 149,551 : x
  2. Step 2: Convert to fraction form
    101,003/149,551 = 149,551/x
  3. Step 3: Cross multiply
    101,003x = 149,551 × 149,551
  4. Step 4: Simplify right side
    101,003x = 22,365,501,601
  5. Step 5: Solve for x
    x = 22,365,501,601/101,003
  6. Step 6: Final answer
    x = 221,434.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.