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Finding the Third Proportional to 41,823 and 92,070

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Solution

The third proportional to 41,823 and 92,070 is: 202,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,823 : 92,070 = 92,070 : x
  2. Step 2: Convert to fraction form
    41,823/92,070 = 92,070/x
  3. Step 3: Cross multiply
    41,823x = 92,070 × 92,070
  4. Step 4: Simplify right side
    41,823x = 8,476,884,900
  5. Step 5: Solve for x
    x = 8,476,884,900/41,823
  6. Step 6: Final answer
    x = 202,684.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.