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Finding the Third Proportional to 67,318 and 105,611

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Solution

The third proportional to 67,318 and 105,611 is: 165,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,318 : 105,611 = 105,611 : x
  2. Step 2: Convert to fraction form
    67,318/105,611 = 105,611/x
  3. Step 3: Cross multiply
    67,318x = 105,611 × 105,611
  4. Step 4: Simplify right side
    67,318x = 11,153,683,321
  5. Step 5: Solve for x
    x = 11,153,683,321/67,318
  6. Step 6: Final answer
    x = 165,686.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.