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Finding the Third Proportional to 50,695.88 and 77,137.31

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Solution

The third proportional to 50,695.88 and 77,137.31 is: 117,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,695.88 : 77,137.31 = 77,137.31 : x
  2. Step 2: Convert to fraction form
    50,695.88/77,137.31 = 77,137.31/x
  3. Step 3: Cross multiply
    50,695.88x = 77,137.31 × 77,137.31
  4. Step 4: Simplify right side
    50,695.88x = 5,950,164,979.72
  5. Step 5: Solve for x
    x = 5,950,164,979.72/50,695.88
  6. Step 6: Final answer
    x = 117,369.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.