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Finding the Third Proportional to 56,223.75 and 120,785.25

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Solution

The third proportional to 56,223.75 and 120,785.25 is: 259,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,223.75 : 120,785.25 = 120,785.25 : x
  2. Step 2: Convert to fraction form
    56,223.75/120,785.25 = 120,785.25/x
  3. Step 3: Cross multiply
    56,223.75x = 120,785.25 × 120,785.25
  4. Step 4: Simplify right side
    56,223.75x = 14,589,076,617.56
  5. Step 5: Solve for x
    x = 14,589,076,617.56/56,223.75
  6. Step 6: Final answer
    x = 259,482.45

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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.