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Finding the Third Proportional to 49,137.75 and 74,113.88

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Solution

The third proportional to 49,137.75 and 74,113.88 is: 111,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,137.75 : 74,113.88 = 74,113.88 : x
  2. Step 2: Convert to fraction form
    49,137.75/74,113.88 = 74,113.88/x
  3. Step 3: Cross multiply
    49,137.75x = 74,113.88 × 74,113.88
  4. Step 4: Simplify right side
    49,137.75x = 5,492,866,467.52
  5. Step 5: Solve for x
    x = 5,492,866,467.52/49,137.75
  6. Step 6: Final answer
    x = 111,785.06

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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.