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Finding the Third Proportional to 43,072 and 92,371

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Solution

The third proportional to 43,072 and 92,371 is: 198,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,072 : 92,371 = 92,371 : x
  2. Step 2: Convert to fraction form
    43,072/92,371 = 92,371/x
  3. Step 3: Cross multiply
    43,072x = 92,371 × 92,371
  4. Step 4: Simplify right side
    43,072x = 8,532,401,641
  5. Step 5: Solve for x
    x = 8,532,401,641/43,072
  6. Step 6: Final answer
    x = 198,096.25

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Why These Related Problems?

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