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Finding the Third Proportional to 67,315.50 and 141,606

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Solution

The third proportional to 67,315.50 and 141,606 is: 297,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,315.50 : 141,606 = 141,606 : x
  2. Step 2: Convert to fraction form
    67,315.50/141,606 = 141,606/x
  3. Step 3: Cross multiply
    67,315.50x = 141,606 × 141,606
  4. Step 4: Simplify right side
    67,315.50x = 20,052,259,236
  5. Step 5: Solve for x
    x = 20,052,259,236/67,315.50
  6. Step 6: Final answer
    x = 297,884.73

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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.