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Finding the Third Proportional to 53,068 and 111,895

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Solution

The third proportional to 53,068 and 111,895 is: 235,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,068 : 111,895 = 111,895 : x
  2. Step 2: Convert to fraction form
    53,068/111,895 = 111,895/x
  3. Step 3: Cross multiply
    53,068x = 111,895 × 111,895
  4. Step 4: Simplify right side
    53,068x = 12,520,491,025
  5. Step 5: Solve for x
    x = 12,520,491,025/53,068
  6. Step 6: Final answer
    x = 235,932.97

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.