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Finding the Third Proportional to 90,405.50 and 189,073

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Solution

The third proportional to 90,405.50 and 189,073 is: 395,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,405.50 : 189,073 = 189,073 : x
  2. Step 2: Convert to fraction form
    90,405.50/189,073 = 189,073/x
  3. Step 3: Cross multiply
    90,405.50x = 189,073 × 189,073
  4. Step 4: Simplify right side
    90,405.50x = 35,748,599,329
  5. Step 5: Solve for x
    x = 35,748,599,329/90,405.50
  6. Step 6: Final answer
    x = 395,425.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.