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Finding the Third Proportional to 108,324 and 162,189

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Solution

The third proportional to 108,324 and 162,189 is: 242,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,324 : 162,189 = 162,189 : x
  2. Step 2: Convert to fraction form
    108,324/162,189 = 162,189/x
  3. Step 3: Cross multiply
    108,324x = 162,189 × 162,189
  4. Step 4: Simplify right side
    108,324x = 26,305,271,721
  5. Step 5: Solve for x
    x = 26,305,271,721/108,324
  6. Step 6: Final answer
    x = 242,838.81

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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.