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Finding the Third Proportional to 90,453 and 189,159

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Solution

The third proportional to 90,453 and 189,159 is: 395,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,453 : 189,159 = 189,159 : x
  2. Step 2: Convert to fraction form
    90,453/189,159 = 189,159/x
  3. Step 3: Cross multiply
    90,453x = 189,159 × 189,159
  4. Step 4: Simplify right side
    90,453x = 35,781,127,281
  5. Step 5: Solve for x
    x = 35,781,127,281/90,453
  6. Step 6: Final answer
    x = 395,577.01

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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.