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Finding the Third Proportional to 49,711.50 and 75,290.25

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Solution

The third proportional to 49,711.50 and 75,290.25 is: 114,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,711.50 : 75,290.25 = 75,290.25 : x
  2. Step 2: Convert to fraction form
    49,711.50/75,290.25 = 75,290.25/x
  3. Step 3: Cross multiply
    49,711.50x = 75,290.25 × 75,290.25
  4. Step 4: Simplify right side
    49,711.50x = 5,668,621,745.06
  5. Step 5: Solve for x
    x = 5,668,621,745.06/49,711.50
  6. Step 6: Final answer
    x = 114,030.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.