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Finding the Third Proportional to 43,047 and 92,702

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Solution

The third proportional to 43,047 and 92,702 is: 199,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,047 : 92,702 = 92,702 : x
  2. Step 2: Convert to fraction form
    43,047/92,702 = 92,702/x
  3. Step 3: Cross multiply
    43,047x = 92,702 × 92,702
  4. Step 4: Simplify right side
    43,047x = 8,593,660,804
  5. Step 5: Solve for x
    x = 8,593,660,804/43,047
  6. Step 6: Final answer
    x = 199,634.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.