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Finding the Third Proportional to 66,384 and 103,616

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Solution

The third proportional to 66,384 and 103,616 is: 161,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,384 : 103,616 = 103,616 : x
  2. Step 2: Convert to fraction form
    66,384/103,616 = 103,616/x
  3. Step 3: Cross multiply
    66,384x = 103,616 × 103,616
  4. Step 4: Simplify right side
    66,384x = 10,736,275,456
  5. Step 5: Solve for x
    x = 10,736,275,456/66,384
  6. Step 6: Final answer
    x = 161,729.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.