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Finding the Third Proportional to 104,022 and 157,986

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Solution

The third proportional to 104,022 and 157,986 is: 239,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,022 : 157,986 = 157,986 : x
  2. Step 2: Convert to fraction form
    104,022/157,986 = 157,986/x
  3. Step 3: Cross multiply
    104,022x = 157,986 × 157,986
  4. Step 4: Simplify right side
    104,022x = 24,959,576,196
  5. Step 5: Solve for x
    x = 24,959,576,196/104,022
  6. Step 6: Final answer
    x = 239,945.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.