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Finding the Third Proportional to 67,321 and 141,606

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Solution

The third proportional to 67,321 and 141,606 is: 297,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,321 : 141,606 = 141,606 : x
  2. Step 2: Convert to fraction form
    67,321/141,606 = 141,606/x
  3. Step 3: Cross multiply
    67,321x = 141,606 × 141,606
  4. Step 4: Simplify right side
    67,321x = 20,052,259,236
  5. Step 5: Solve for x
    x = 20,052,259,236/67,321
  6. Step 6: Final answer
    x = 297,860.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.