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Finding the Third Proportional to 111,495.94 and 158,939.44

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Solution

The third proportional to 111,495.94 and 158,939.44 is: 226,570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,495.94 : 158,939.44 = 158,939.44 : x
  2. Step 2: Convert to fraction form
    111,495.94/158,939.44 = 158,939.44/x
  3. Step 3: Cross multiply
    111,495.94x = 158,939.44 × 158,939.44
  4. Step 4: Simplify right side
    111,495.94x = 25,261,744,792.82
  5. Step 5: Solve for x
    x = 25,261,744,792.82/111,495.94
  6. Step 6: Final answer
    x = 226,570.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.