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Finding the Third Proportional to 101,052 and 149,616

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Solution

The third proportional to 101,052 and 149,616 is: 221,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,052 : 149,616 = 149,616 : x
  2. Step 2: Convert to fraction form
    101,052/149,616 = 149,616/x
  3. Step 3: Cross multiply
    101,052x = 149,616 × 149,616
  4. Step 4: Simplify right side
    101,052x = 22,384,947,456
  5. Step 5: Solve for x
    x = 22,384,947,456/101,052
  6. Step 6: Final answer
    x = 221,519.09

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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.