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Finding the Third Proportional to 101,014 and 149,568

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Solution

The third proportional to 101,014 and 149,568 is: 221,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,014 : 149,568 = 149,568 : x
  2. Step 2: Convert to fraction form
    101,014/149,568 = 149,568/x
  3. Step 3: Cross multiply
    101,014x = 149,568 × 149,568
  4. Step 4: Simplify right side
    101,014x = 22,370,586,624
  5. Step 5: Solve for x
    x = 22,370,586,624/101,014
  6. Step 6: Final answer
    x = 221,460.26

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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.