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Finding the Third Proportional to 91,818 and 140,458

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Solution

The third proportional to 91,818 and 140,458 is: 214,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,818 : 140,458 = 140,458 : x
  2. Step 2: Convert to fraction form
    91,818/140,458 = 140,458/x
  3. Step 3: Cross multiply
    91,818x = 140,458 × 140,458
  4. Step 4: Simplify right side
    91,818x = 19,728,449,764
  5. Step 5: Solve for x
    x = 19,728,449,764/91,818
  6. Step 6: Final answer
    x = 214,864.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.