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Finding the Third Proportional to 108,671.63 and 166,232.25

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Solution

The third proportional to 108,671.63 and 166,232.25 is: 254,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,671.63 : 166,232.25 = 166,232.25 : x
  2. Step 2: Convert to fraction form
    108,671.63/166,232.25 = 166,232.25/x
  3. Step 3: Cross multiply
    108,671.63x = 166,232.25 × 166,232.25
  4. Step 4: Simplify right side
    108,671.63x = 27,633,160,940.06
  5. Step 5: Solve for x
    x = 27,633,160,940.06/108,671.63
  6. Step 6: Final answer
    x = 254,281.29

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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.