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Finding the Third Proportional to 49,653.56 and 117,117.84

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Solution

The third proportional to 49,653.56 and 117,117.84 is: 276,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,653.56 : 117,117.84 = 117,117.84 : x
  2. Step 2: Convert to fraction form
    49,653.56/117,117.84 = 117,117.84/x
  3. Step 3: Cross multiply
    49,653.56x = 117,117.84 × 117,117.84
  4. Step 4: Simplify right side
    49,653.56x = 13,716,589,324.65
  5. Step 5: Solve for x
    x = 13,716,589,324.65/49,653.56
  6. Step 6: Final answer
    x = 276,245.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.