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Finding the Third Proportional to 81,514 and 172,840

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Solution

The third proportional to 81,514 and 172,840 is: 366,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,514 : 172,840 = 172,840 : x
  2. Step 2: Convert to fraction form
    81,514/172,840 = 172,840/x
  3. Step 3: Cross multiply
    81,514x = 172,840 × 172,840
  4. Step 4: Simplify right side
    81,514x = 29,873,665,600
  5. Step 5: Solve for x
    x = 29,873,665,600/81,514
  6. Step 6: Final answer
    x = 366,485.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.