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Finding the Third Proportional to 108,661 and 166,220.50

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Solution

The third proportional to 108,661 and 166,220.50 is: 254,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,661 : 166,220.50 = 166,220.50 : x
  2. Step 2: Convert to fraction form
    108,661/166,220.50 = 166,220.50/x
  3. Step 3: Cross multiply
    108,661x = 166,220.50 × 166,220.50
  4. Step 4: Simplify right side
    108,661x = 27,629,254,620.25
  5. Step 5: Solve for x
    x = 27,629,254,620.25/108,661
  6. Step 6: Final answer
    x = 254,270.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.