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Finding the Third Proportional to 84,343.13 and 126,274.88

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Solution

The third proportional to 84,343.13 and 126,274.88 is: 189,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,343.13 : 126,274.88 = 126,274.88 : x
  2. Step 2: Convert to fraction form
    84,343.13/126,274.88 = 126,274.88/x
  3. Step 3: Cross multiply
    84,343.13x = 126,274.88 × 126,274.88
  4. Step 4: Simplify right side
    84,343.13x = 15,945,344,056.27
  5. Step 5: Solve for x
    x = 15,945,344,056.27/84,343.13
  6. Step 6: Final answer
    x = 189,053.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.