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Finding the Third Proportional to 34,753 and 75,013

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Solution

The third proportional to 34,753 and 75,013 is: 161,912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,753 : 75,013 = 75,013 : x
  2. Step 2: Convert to fraction form
    34,753/75,013 = 75,013/x
  3. Step 3: Cross multiply
    34,753x = 75,013 × 75,013
  4. Step 4: Simplify right side
    34,753x = 5,626,950,169
  5. Step 5: Solve for x
    x = 5,626,950,169/34,753
  6. Step 6: Final answer
    x = 161,912.65

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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.