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Finding the Third Proportional to 111,491.44 and 159,767.44

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Solution

The third proportional to 111,491.44 and 159,767.44 is: 228,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,491.44 : 159,767.44 = 159,767.44 : x
  2. Step 2: Convert to fraction form
    111,491.44/159,767.44 = 159,767.44/x
  3. Step 3: Cross multiply
    111,491.44x = 159,767.44 × 159,767.44
  4. Step 4: Simplify right side
    111,491.44x = 25,525,634,085.32
  5. Step 5: Solve for x
    x = 25,525,634,085.32/111,491.44
  6. Step 6: Final answer
    x = 228,947.04

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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.