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Finding the Third Proportional to 101,370 and 146,021

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Solution

The third proportional to 101,370 and 146,021 is: 210,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,370 : 146,021 = 146,021 : x
  2. Step 2: Convert to fraction form
    101,370/146,021 = 146,021/x
  3. Step 3: Cross multiply
    101,370x = 146,021 × 146,021
  4. Step 4: Simplify right side
    101,370x = 21,322,132,441
  5. Step 5: Solve for x
    x = 21,322,132,441/101,370
  6. Step 6: Final answer
    x = 210,339.67

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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.