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Finding the Third Proportional to 108,087.75 and 172,671.75

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Solution

The third proportional to 108,087.75 and 172,671.75 is: 275,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,087.75 : 172,671.75 = 172,671.75 : x
  2. Step 2: Convert to fraction form
    108,087.75/172,671.75 = 172,671.75/x
  3. Step 3: Cross multiply
    108,087.75x = 172,671.75 × 172,671.75
  4. Step 4: Simplify right side
    108,087.75x = 29,815,533,248.06
  5. Step 5: Solve for x
    x = 29,815,533,248.06/108,087.75
  6. Step 6: Final answer
    x = 275,845.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.