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Finding the Third Proportional to 55,146.09 and 120,786.19

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Solution

The third proportional to 55,146.09 and 120,786.19 is: 264,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,146.09 : 120,786.19 = 120,786.19 : x
  2. Step 2: Convert to fraction form
    55,146.09/120,786.19 = 120,786.19/x
  3. Step 3: Cross multiply
    55,146.09x = 120,786.19 × 120,786.19
  4. Step 4: Simplify right side
    55,146.09x = 14,589,303,090.79
  5. Step 5: Solve for x
    x = 14,589,303,090.79/55,146.09
  6. Step 6: Final answer
    x = 264,557.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.