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Finding the Third Proportional to 51,681.25 and 111,280

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Solution

The third proportional to 51,681.25 and 111,280 is: 239,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,681.25 : 111,280 = 111,280 : x
  2. Step 2: Convert to fraction form
    51,681.25/111,280 = 111,280/x
  3. Step 3: Cross multiply
    51,681.25x = 111,280 × 111,280
  4. Step 4: Simplify right side
    51,681.25x = 12,383,238,400
  5. Step 5: Solve for x
    x = 12,383,238,400/51,681.25
  6. Step 6: Final answer
    x = 239,607.95

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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.