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Finding the Third Proportional to 122,510.53 and 263,787.75

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Solution

The third proportional to 122,510.53 and 263,787.75 is: 567,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,510.53 : 263,787.75 = 263,787.75 : x
  2. Step 2: Convert to fraction form
    122,510.53/263,787.75 = 263,787.75/x
  3. Step 3: Cross multiply
    122,510.53x = 263,787.75 × 263,787.75
  4. Step 4: Simplify right side
    122,510.53x = 69,583,977,050.06
  5. Step 5: Solve for x
    x = 69,583,977,050.06/122,510.53
  6. Step 6: Final answer
    x = 567,983.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.