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Finding the Third Proportional to 51,039 and 75,100.50

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Solution

The third proportional to 51,039 and 75,100.50 is: 110,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,039 : 75,100.50 = 75,100.50 : x
  2. Step 2: Convert to fraction form
    51,039/75,100.50 = 75,100.50/x
  3. Step 3: Cross multiply
    51,039x = 75,100.50 × 75,100.50
  4. Step 4: Simplify right side
    51,039x = 5,640,085,100.25
  5. Step 5: Solve for x
    x = 5,640,085,100.25/51,039
  6. Step 6: Final answer
    x = 110,505.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.