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Finding the Third Proportional to 108,004.50 and 162,006

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Solution

The third proportional to 108,004.50 and 162,006 is: 243,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,004.50 : 162,006 = 162,006 : x
  2. Step 2: Convert to fraction form
    108,004.50/162,006 = 162,006/x
  3. Step 3: Cross multiply
    108,004.50x = 162,006 × 162,006
  4. Step 4: Simplify right side
    108,004.50x = 26,245,944,036
  5. Step 5: Solve for x
    x = 26,245,944,036/108,004.50
  6. Step 6: Final answer
    x = 243,007.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.