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Finding the Third Proportional to 51,010.75 and 111,205

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Solution

The third proportional to 51,010.75 and 111,205 is: 242,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,010.75 : 111,205 = 111,205 : x
  2. Step 2: Convert to fraction form
    51,010.75/111,205 = 111,205/x
  3. Step 3: Cross multiply
    51,010.75x = 111,205 × 111,205
  4. Step 4: Simplify right side
    51,010.75x = 12,366,552,025
  5. Step 5: Solve for x
    x = 12,366,552,025/51,010.75
  6. Step 6: Final answer
    x = 242,430.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.