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Finding the Third Proportional to 73,963.50 and 162,005.25

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Solution

The third proportional to 73,963.50 and 162,005.25 is: 354,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,963.50 : 162,005.25 = 162,005.25 : x
  2. Step 2: Convert to fraction form
    73,963.50/162,005.25 = 162,005.25/x
  3. Step 3: Cross multiply
    73,963.50x = 162,005.25 × 162,005.25
  4. Step 4: Simplify right side
    73,963.50x = 26,245,701,027.56
  5. Step 5: Solve for x
    x = 26,245,701,027.56/73,963.50
  6. Step 6: Final answer
    x = 354,846.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.