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Finding the Third Proportional to 34,673.25 and 76,109.25

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Solution

The third proportional to 34,673.25 and 76,109.25 is: 167,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,673.25 : 76,109.25 = 76,109.25 : x
  2. Step 2: Convert to fraction form
    34,673.25/76,109.25 = 76,109.25/x
  3. Step 3: Cross multiply
    34,673.25x = 76,109.25 × 76,109.25
  4. Step 4: Simplify right side
    34,673.25x = 5,792,617,935.56
  5. Step 5: Solve for x
    x = 5,792,617,935.56/34,673.25
  6. Step 6: Final answer
    x = 167,063.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.