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Finding the Third Proportional to 101,745 and 149,573

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Solution

The third proportional to 101,745 and 149,573 is: 219,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,745 : 149,573 = 149,573 : x
  2. Step 2: Convert to fraction form
    101,745/149,573 = 149,573/x
  3. Step 3: Cross multiply
    101,745x = 149,573 × 149,573
  4. Step 4: Simplify right side
    101,745x = 22,372,082,329
  5. Step 5: Solve for x
    x = 22,372,082,329/101,745
  6. Step 6: Final answer
    x = 219,883.85

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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.