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Finding the Third Proportional to 123,514.88 and 271,086.75

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Solution

The third proportional to 123,514.88 and 271,086.75 is: 594,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,514.88 : 271,086.75 = 271,086.75 : x
  2. Step 2: Convert to fraction form
    123,514.88/271,086.75 = 271,086.75/x
  3. Step 3: Cross multiply
    123,514.88x = 271,086.75 × 271,086.75
  4. Step 4: Simplify right side
    123,514.88x = 73,488,026,025.56
  5. Step 5: Solve for x
    x = 73,488,026,025.56/123,514.88
  6. Step 6: Final answer
    x = 594,973.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.