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Finding the Third Proportional to 92,261.44 and 137,910.56

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Solution

The third proportional to 92,261.44 and 137,910.56 is: 206,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,261.44 : 137,910.56 = 137,910.56 : x
  2. Step 2: Convert to fraction form
    92,261.44/137,910.56 = 137,910.56/x
  3. Step 3: Cross multiply
    92,261.44x = 137,910.56 × 137,910.56
  4. Step 4: Simplify right side
    92,261.44x = 19,019,323,249.07
  5. Step 5: Solve for x
    x = 19,019,323,249.07/92,261.44
  6. Step 6: Final answer
    x = 206,145.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.