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Finding the Third Proportional to 101,916 and 149,740

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Solution

The third proportional to 101,916 and 149,740 is: 220,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,916 : 149,740 = 149,740 : x
  2. Step 2: Convert to fraction form
    101,916/149,740 = 149,740/x
  3. Step 3: Cross multiply
    101,916x = 149,740 × 149,740
  4. Step 4: Simplify right side
    101,916x = 22,422,067,600
  5. Step 5: Solve for x
    x = 22,422,067,600/101,916
  6. Step 6: Final answer
    x = 220,005.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.