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Finding the Third Proportional to 43,030 and 92,858

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Solution

The third proportional to 43,030 and 92,858 is: 200,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,030 : 92,858 = 92,858 : x
  2. Step 2: Convert to fraction form
    43,030/92,858 = 92,858/x
  3. Step 3: Cross multiply
    43,030x = 92,858 × 92,858
  4. Step 4: Simplify right side
    43,030x = 8,622,608,164
  5. Step 5: Solve for x
    x = 8,622,608,164/43,030
  6. Step 6: Final answer
    x = 200,385.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.