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Finding the Third Proportional to 43,246 and 92,072

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Solution

The third proportional to 43,246 and 92,072 is: 196,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,246 : 92,072 = 92,072 : x
  2. Step 2: Convert to fraction form
    43,246/92,072 = 92,072/x
  3. Step 3: Cross multiply
    43,246x = 92,072 × 92,072
  4. Step 4: Simplify right side
    43,246x = 8,477,253,184
  5. Step 5: Solve for x
    x = 8,477,253,184/43,246
  6. Step 6: Final answer
    x = 196,023.98

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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.