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Finding the Third Proportional to 90,430.50 and 189,123

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Solution

The third proportional to 90,430.50 and 189,123 is: 395,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,430.50 : 189,123 = 189,123 : x
  2. Step 2: Convert to fraction form
    90,430.50/189,123 = 189,123/x
  3. Step 3: Cross multiply
    90,430.50x = 189,123 × 189,123
  4. Step 4: Simplify right side
    90,430.50x = 35,767,509,129
  5. Step 5: Solve for x
    x = 35,767,509,129/90,430.50
  6. Step 6: Final answer
    x = 395,524.84

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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.