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Finding the Third Proportional to 66,616 and 146,320

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Solution

The third proportional to 66,616 and 146,320 is: 321,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,616 : 146,320 = 146,320 : x
  2. Step 2: Convert to fraction form
    66,616/146,320 = 146,320/x
  3. Step 3: Cross multiply
    66,616x = 146,320 × 146,320
  4. Step 4: Simplify right side
    66,616x = 21,409,542,400
  5. Step 5: Solve for x
    x = 21,409,542,400/66,616
  6. Step 6: Final answer
    x = 321,387.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.