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Finding the Third Proportional to 31,770.98 and 68,771.95

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Solution

The third proportional to 31,770.98 and 68,771.95 is: 148,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.98 : 68,771.95 = 68,771.95 : x
  2. Step 2: Convert to fraction form
    31,770.98/68,771.95 = 68,771.95/x
  3. Step 3: Cross multiply
    31,770.98x = 68,771.95 × 68,771.95
  4. Step 4: Simplify right side
    31,770.98x = 4,729,581,536.63
  5. Step 5: Solve for x
    x = 4,729,581,536.63/31,770.98
  6. Step 6: Final answer
    x = 148,864.81

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