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Finding the Third Proportional to 49,341 and 75,244.50

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Solution

The third proportional to 49,341 and 75,244.50 is: 114,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,341 : 75,244.50 = 75,244.50 : x
  2. Step 2: Convert to fraction form
    49,341/75,244.50 = 75,244.50/x
  3. Step 3: Cross multiply
    49,341x = 75,244.50 × 75,244.50
  4. Step 4: Simplify right side
    49,341x = 5,661,734,780.25
  5. Step 5: Solve for x
    x = 5,661,734,780.25/49,341
  6. Step 6: Final answer
    x = 114,747.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.