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Finding the Third Proportional to 104,078.25 and 148,722.75

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Solution

The third proportional to 104,078.25 and 148,722.75 is: 212,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,078.25 : 148,722.75 = 148,722.75 : x
  2. Step 2: Convert to fraction form
    104,078.25/148,722.75 = 148,722.75/x
  3. Step 3: Cross multiply
    104,078.25x = 148,722.75 × 148,722.75
  4. Step 4: Simplify right side
    104,078.25x = 22,118,456,367.56
  5. Step 5: Solve for x
    x = 22,118,456,367.56/104,078.25
  6. Step 6: Final answer
    x = 212,517.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.