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Finding the Third Proportional to 108,085.50 and 162,099

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Solution

The third proportional to 108,085.50 and 162,099 is: 243,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,085.50 : 162,099 = 162,099 : x
  2. Step 2: Convert to fraction form
    108,085.50/162,099 = 162,099/x
  3. Step 3: Cross multiply
    108,085.50x = 162,099 × 162,099
  4. Step 4: Simplify right side
    108,085.50x = 26,276,085,801
  5. Step 5: Solve for x
    x = 26,276,085,801/108,085.50
  6. Step 6: Final answer
    x = 243,104.63

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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.