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Finding the Third Proportional to 89,450 and 184,572

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Solution

The third proportional to 89,450 and 184,572 is: 380,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,450 : 184,572 = 184,572 : x
  2. Step 2: Convert to fraction form
    89,450/184,572 = 184,572/x
  3. Step 3: Cross multiply
    89,450x = 184,572 × 184,572
  4. Step 4: Simplify right side
    89,450x = 34,066,823,184
  5. Step 5: Solve for x
    x = 34,066,823,184/89,450
  6. Step 6: Final answer
    x = 380,847.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.