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Finding the Third Proportional to 56,976.75 and 122,708.25

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Solution

The third proportional to 56,976.75 and 122,708.25 is: 264,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,976.75 : 122,708.25 = 122,708.25 : x
  2. Step 2: Convert to fraction form
    56,976.75/122,708.25 = 122,708.25/x
  3. Step 3: Cross multiply
    56,976.75x = 122,708.25 × 122,708.25
  4. Step 4: Simplify right side
    56,976.75x = 15,057,314,618.06
  5. Step 5: Solve for x
    x = 15,057,314,618.06/56,976.75
  6. Step 6: Final answer
    x = 264,271.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.