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Finding the Third Proportional to 43,731 and 92,718

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Solution

The third proportional to 43,731 and 92,718 is: 196,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,731 : 92,718 = 92,718 : x
  2. Step 2: Convert to fraction form
    43,731/92,718 = 92,718/x
  3. Step 3: Cross multiply
    43,731x = 92,718 × 92,718
  4. Step 4: Simplify right side
    43,731x = 8,596,627,524
  5. Step 5: Solve for x
    x = 8,596,627,524/43,731
  6. Step 6: Final answer
    x = 196,579.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.