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Finding the Third Proportional to 60,660 and 131,629.50

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Solution

The third proportional to 60,660 and 131,629.50 is: 285,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,660 : 131,629.50 = 131,629.50 : x
  2. Step 2: Convert to fraction form
    60,660/131,629.50 = 131,629.50/x
  3. Step 3: Cross multiply
    60,660x = 131,629.50 × 131,629.50
  4. Step 4: Simplify right side
    60,660x = 17,326,325,270.25
  5. Step 5: Solve for x
    x = 17,326,325,270.25/60,660
  6. Step 6: Final answer
    x = 285,630.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.