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Finding the Third Proportional to 68,134.92 and 146,684.67

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Solution

The third proportional to 68,134.92 and 146,684.67 is: 315,790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,134.92 : 146,684.67 = 146,684.67 : x
  2. Step 2: Convert to fraction form
    68,134.92/146,684.67 = 146,684.67/x
  3. Step 3: Cross multiply
    68,134.92x = 146,684.67 × 146,684.67
  4. Step 4: Simplify right side
    68,134.92x = 21,516,392,963.08
  5. Step 5: Solve for x
    x = 21,516,392,963.08/68,134.92
  6. Step 6: Final answer
    x = 315,790.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.