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Finding the Third Proportional to 48,120.75 and 115,927.88

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Solution

The third proportional to 48,120.75 and 115,927.88 is: 279,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,120.75 : 115,927.88 = 115,927.88 : x
  2. Step 2: Convert to fraction form
    48,120.75/115,927.88 = 115,927.88/x
  3. Step 3: Cross multiply
    48,120.75x = 115,927.88 × 115,927.88
  4. Step 4: Simplify right side
    48,120.75x = 13,439,272,202.02
  5. Step 5: Solve for x
    x = 13,439,272,202.02/48,120.75
  6. Step 6: Final answer
    x = 279,282.27

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.