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Finding the Third Proportional to 111,466.13 and 171,365.63

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Solution

The third proportional to 111,466.13 and 171,365.63 is: 263,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,466.13 : 171,365.63 = 171,365.63 : x
  2. Step 2: Convert to fraction form
    111,466.13/171,365.63 = 171,365.63/x
  3. Step 3: Cross multiply
    111,466.13x = 171,365.63 × 171,365.63
  4. Step 4: Simplify right side
    111,466.13x = 29,366,177,431.64
  5. Step 5: Solve for x
    x = 29,366,177,431.64/111,466.13
  6. Step 6: Final answer
    x = 263,453.83

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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.