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Finding the Third Proportional to 108,092.25 and 172,676.25

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Solution

The third proportional to 108,092.25 and 172,676.25 is: 275,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,092.25 : 172,676.25 = 172,676.25 : x
  2. Step 2: Convert to fraction form
    108,092.25/172,676.25 = 172,676.25/x
  3. Step 3: Cross multiply
    108,092.25x = 172,676.25 × 172,676.25
  4. Step 4: Simplify right side
    108,092.25x = 29,817,087,314.06
  5. Step 5: Solve for x
    x = 29,817,087,314.06/108,092.25
  6. Step 6: Final answer
    x = 275,848.52

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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.