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Finding the Third Proportional to 86,670 and 180,135

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Solution

The third proportional to 86,670 and 180,135 is: 374,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,670 : 180,135 = 180,135 : x
  2. Step 2: Convert to fraction form
    86,670/180,135 = 180,135/x
  3. Step 3: Cross multiply
    86,670x = 180,135 × 180,135
  4. Step 4: Simplify right side
    86,670x = 32,448,618,225
  5. Step 5: Solve for x
    x = 32,448,618,225/86,670
  6. Step 6: Final answer
    x = 374,392.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.