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Finding the Third Proportional to 101,370 and 149,004

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Solution

The third proportional to 101,370 and 149,004 is: 219,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,370 : 149,004 = 149,004 : x
  2. Step 2: Convert to fraction form
    101,370/149,004 = 149,004/x
  3. Step 3: Cross multiply
    101,370x = 149,004 × 149,004
  4. Step 4: Simplify right side
    101,370x = 22,202,192,016
  5. Step 5: Solve for x
    x = 22,202,192,016/101,370
  6. Step 6: Final answer
    x = 219,021.33

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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.