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Finding the Third Proportional to 51,151 and 111,050.50

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Solution

The third proportional to 51,151 and 111,050.50 is: 241,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,151 : 111,050.50 = 111,050.50 : x
  2. Step 2: Convert to fraction form
    51,151/111,050.50 = 111,050.50/x
  3. Step 3: Cross multiply
    51,151x = 111,050.50 × 111,050.50
  4. Step 4: Simplify right side
    51,151x = 12,332,213,550.25
  5. Step 5: Solve for x
    x = 12,332,213,550.25/51,151
  6. Step 6: Final answer
    x = 241,094.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.