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Finding the Third Proportional to 111,173.63 and 166,456.69

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Solution

The third proportional to 111,173.63 and 166,456.69 is: 249,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,173.63 : 166,456.69 = 166,456.69 : x
  2. Step 2: Convert to fraction form
    111,173.63/166,456.69 = 166,456.69/x
  3. Step 3: Cross multiply
    111,173.63x = 166,456.69 × 166,456.69
  4. Step 4: Simplify right side
    111,173.63x = 27,707,828,813.47
  5. Step 5: Solve for x
    x = 27,707,828,813.47/111,173.63
  6. Step 6: Final answer
    x = 249,230.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.