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Finding the Third Proportional to 101,174 and 145,735

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Solution

The third proportional to 101,174 and 145,735 is: 209,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,174 : 145,735 = 145,735 : x
  2. Step 2: Convert to fraction form
    101,174/145,735 = 145,735/x
  3. Step 3: Cross multiply
    101,174x = 145,735 × 145,735
  4. Step 4: Simplify right side
    101,174x = 21,238,690,225
  5. Step 5: Solve for x
    x = 21,238,690,225/101,174
  6. Step 6: Final answer
    x = 209,922.41

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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.