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Finding the Third Proportional to 51,801.75 and 108,828

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Solution

The third proportional to 51,801.75 and 108,828 is: 228,631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,801.75 : 108,828 = 108,828 : x
  2. Step 2: Convert to fraction form
    51,801.75/108,828 = 108,828/x
  3. Step 3: Cross multiply
    51,801.75x = 108,828 × 108,828
  4. Step 4: Simplify right side
    51,801.75x = 11,843,533,584
  5. Step 5: Solve for x
    x = 11,843,533,584/51,801.75
  6. Step 6: Final answer
    x = 228,631.92

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.