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Finding the Third Proportional to 35,113.50 and 71,661.38

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Solution

The third proportional to 35,113.50 and 71,661.38 is: 146,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,113.50 : 71,661.38 = 71,661.38 : x
  2. Step 2: Convert to fraction form
    35,113.50/71,661.38 = 71,661.38/x
  3. Step 3: Cross multiply
    35,113.50x = 71,661.38 × 71,661.38
  4. Step 4: Simplify right side
    35,113.50x = 5,135,352,666.89
  5. Step 5: Solve for x
    x = 5,135,352,666.89/35,113.50
  6. Step 6: Final answer
    x = 146,250.09

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.