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Finding the Third Proportional to 43,146 and 92,052

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Solution

The third proportional to 43,146 and 92,052 is: 196,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,146 : 92,052 = 92,052 : x
  2. Step 2: Convert to fraction form
    43,146/92,052 = 92,052/x
  3. Step 3: Cross multiply
    43,146x = 92,052 × 92,052
  4. Step 4: Simplify right side
    43,146x = 8,473,570,704
  5. Step 5: Solve for x
    x = 8,473,570,704/43,146
  6. Step 6: Final answer
    x = 196,392.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.