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Finding the Third Proportional to 70,629.75 and 152,464.50

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Solution

The third proportional to 70,629.75 and 152,464.50 is: 329,116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,629.75 : 152,464.50 = 152,464.50 : x
  2. Step 2: Convert to fraction form
    70,629.75/152,464.50 = 152,464.50/x
  3. Step 3: Cross multiply
    70,629.75x = 152,464.50 × 152,464.50
  4. Step 4: Simplify right side
    70,629.75x = 23,245,423,760.25
  5. Step 5: Solve for x
    x = 23,245,423,760.25/70,629.75
  6. Step 6: Final answer
    x = 329,116.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.