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Finding the Third Proportional to 101,408.25 and 157,643.25

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Solution

The third proportional to 101,408.25 and 157,643.25 is: 245,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,408.25 : 157,643.25 = 157,643.25 : x
  2. Step 2: Convert to fraction form
    101,408.25/157,643.25 = 157,643.25/x
  3. Step 3: Cross multiply
    101,408.25x = 157,643.25 × 157,643.25
  4. Step 4: Simplify right side
    101,408.25x = 24,851,394,270.56
  5. Step 5: Solve for x
    x = 24,851,394,270.56/101,408.25
  6. Step 6: Final answer
    x = 245,062.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.