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Finding the Third Proportional to 76,352.63 and 154,756.83

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Solution

The third proportional to 76,352.63 and 154,756.83 is: 313,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,352.63 : 154,756.83 = 154,756.83 : x
  2. Step 2: Convert to fraction form
    76,352.63/154,756.83 = 154,756.83/x
  3. Step 3: Cross multiply
    76,352.63x = 154,756.83 × 154,756.83
  4. Step 4: Simplify right side
    76,352.63x = 23,949,675,851.31
  5. Step 5: Solve for x
    x = 23,949,675,851.31/76,352.63
  6. Step 6: Final answer
    x = 313,671.94

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.