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Finding the Third Proportional to 56,183.63 and 120,705

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Solution

The third proportional to 56,183.63 and 120,705 is: 259,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,183.63 : 120,705 = 120,705 : x
  2. Step 2: Convert to fraction form
    56,183.63/120,705 = 120,705/x
  3. Step 3: Cross multiply
    56,183.63x = 120,705 × 120,705
  4. Step 4: Simplify right side
    56,183.63x = 14,569,697,025
  5. Step 5: Solve for x
    x = 14,569,697,025/56,183.63
  6. Step 6: Final answer
    x = 259,322.84

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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.