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Finding the Third Proportional to 110,752.31 and 166,237.31

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Solution

The third proportional to 110,752.31 and 166,237.31 is: 249,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,752.31 : 166,237.31 = 166,237.31 : x
  2. Step 2: Convert to fraction form
    110,752.31/166,237.31 = 166,237.31/x
  3. Step 3: Cross multiply
    110,752.31x = 166,237.31 × 166,237.31
  4. Step 4: Simplify right side
    110,752.31x = 27,634,844,067.22
  5. Step 5: Solve for x
    x = 27,634,844,067.22/110,752.31
  6. Step 6: Final answer
    x = 249,519.34

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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.