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Finding the Third Proportional to 76,334.91 and 162,815.06

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Solution

The third proportional to 76,334.91 and 162,815.06 is: 347,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,334.91 : 162,815.06 = 162,815.06 : x
  2. Step 2: Convert to fraction form
    76,334.91/162,815.06 = 162,815.06/x
  3. Step 3: Cross multiply
    76,334.91x = 162,815.06 × 162,815.06
  4. Step 4: Simplify right side
    76,334.91x = 26,508,744,576.88
  5. Step 5: Solve for x
    x = 26,508,744,576.88/76,334.91
  6. Step 6: Final answer
    x = 347,268.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.