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Finding the Third Proportional to 67,619 and 105,114

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Solution

The third proportional to 67,619 and 105,114 is: 163,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,619 : 105,114 = 105,114 : x
  2. Step 2: Convert to fraction form
    67,619/105,114 = 105,114/x
  3. Step 3: Cross multiply
    67,619x = 105,114 × 105,114
  4. Step 4: Simplify right side
    67,619x = 11,048,952,996
  5. Step 5: Solve for x
    x = 11,048,952,996/67,619
  6. Step 6: Final answer
    x = 163,400.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.