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Finding the Third Proportional to 111,086.44 and 158,743.55

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Solution

The third proportional to 111,086.44 and 158,743.55 is: 226,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,086.44 : 158,743.55 = 158,743.55 : x
  2. Step 2: Convert to fraction form
    111,086.44/158,743.55 = 158,743.55/x
  3. Step 3: Cross multiply
    111,086.44x = 158,743.55 × 158,743.55
  4. Step 4: Simplify right side
    111,086.44x = 25,199,513,674.46
  5. Step 5: Solve for x
    x = 25,199,513,674.46/111,086.44
  6. Step 6: Final answer
    x = 226,846.00

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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.