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Finding the Third Proportional to 104,982.75 and 159,417.75

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Solution

The third proportional to 104,982.75 and 159,417.75 is: 242,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,982.75 : 159,417.75 = 159,417.75 : x
  2. Step 2: Convert to fraction form
    104,982.75/159,417.75 = 159,417.75/x
  3. Step 3: Cross multiply
    104,982.75x = 159,417.75 × 159,417.75
  4. Step 4: Simplify right side
    104,982.75x = 25,414,019,015.06
  5. Step 5: Solve for x
    x = 25,414,019,015.06/104,982.75
  6. Step 6: Final answer
    x = 242,078.05

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Why These Related Problems?

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