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Finding the Third Proportional to 110,453.63 and 170,022.38

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Solution

The third proportional to 110,453.63 and 170,022.38 is: 261,717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,453.63 : 170,022.38 = 170,022.38 : x
  2. Step 2: Convert to fraction form
    110,453.63/170,022.38 = 170,022.38/x
  3. Step 3: Cross multiply
    110,453.63x = 170,022.38 × 170,022.38
  4. Step 4: Simplify right side
    110,453.63x = 28,907,608,000.64
  5. Step 5: Solve for x
    x = 28,907,608,000.64/110,453.63
  6. Step 6: Final answer
    x = 261,717.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.