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Finding the Third Proportional to 57,598.88 and 118,067.63

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Solution

The third proportional to 57,598.88 and 118,067.63 is: 242,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,598.88 : 118,067.63 = 118,067.63 : x
  2. Step 2: Convert to fraction form
    57,598.88/118,067.63 = 118,067.63/x
  3. Step 3: Cross multiply
    57,598.88x = 118,067.63 × 118,067.63
  4. Step 4: Simplify right side
    57,598.88x = 13,939,964,073.14
  5. Step 5: Solve for x
    x = 13,939,964,073.14/57,598.88
  6. Step 6: Final answer
    x = 242,017.99

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.