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Finding the Third Proportional to 43,137.75 and 92,272.75

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Solution

The third proportional to 43,137.75 and 92,272.75 is: 197,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,137.75 : 92,272.75 = 92,272.75 : x
  2. Step 2: Convert to fraction form
    43,137.75/92,272.75 = 92,272.75/x
  3. Step 3: Cross multiply
    43,137.75x = 92,272.75 × 92,272.75
  4. Step 4: Simplify right side
    43,137.75x = 8,514,260,392.56
  5. Step 5: Solve for x
    x = 8,514,260,392.56/43,137.75
  6. Step 6: Final answer
    x = 197,373.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.