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Finding the Third Proportional to 108,671.50 and 166,236.25

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Solution

The third proportional to 108,671.50 and 166,236.25 is: 254,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,671.50 : 166,236.25 = 166,236.25 : x
  2. Step 2: Convert to fraction form
    108,671.50/166,236.25 = 166,236.25/x
  3. Step 3: Cross multiply
    108,671.50x = 166,236.25 × 166,236.25
  4. Step 4: Simplify right side
    108,671.50x = 27,634,490,814.06
  5. Step 5: Solve for x
    x = 27,634,490,814.06/108,671.50
  6. Step 6: Final answer
    x = 254,293.82

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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.