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Finding the Third Proportional to 66,927.94 and 103,631.91

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Solution

The third proportional to 66,927.94 and 103,631.91 is: 160,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,927.94 : 103,631.91 = 103,631.91 : x
  2. Step 2: Convert to fraction form
    66,927.94/103,631.91 = 103,631.91/x
  3. Step 3: Cross multiply
    66,927.94x = 103,631.91 × 103,631.91
  4. Step 4: Simplify right side
    66,927.94x = 10,739,571,993.01
  5. Step 5: Solve for x
    x = 10,739,571,993.01/66,927.94
  6. Step 6: Final answer
    x = 160,464.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.