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Finding the Third Proportional to 119,078.25 and 162,165

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Solution

The third proportional to 119,078.25 and 162,165 is: 220,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,078.25 : 162,165 = 162,165 : x
  2. Step 2: Convert to fraction form
    119,078.25/162,165 = 162,165/x
  3. Step 3: Cross multiply
    119,078.25x = 162,165 × 162,165
  4. Step 4: Simplify right side
    119,078.25x = 26,297,487,225
  5. Step 5: Solve for x
    x = 26,297,487,225/119,078.25
  6. Step 6: Final answer
    x = 220,842.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.