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Finding the Third Proportional to 55,707.75 and 120,133.13

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Solution

The third proportional to 55,707.75 and 120,133.13 is: 259,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,707.75 : 120,133.13 = 120,133.13 : x
  2. Step 2: Convert to fraction form
    55,707.75/120,133.13 = 120,133.13/x
  3. Step 3: Cross multiply
    55,707.75x = 120,133.13 × 120,133.13
  4. Step 4: Simplify right side
    55,707.75x = 14,431,967,722.27
  5. Step 5: Solve for x
    x = 14,431,967,722.27/55,707.75
  6. Step 6: Final answer
    x = 259,065.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.