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Finding the Third Proportional to 74,456 and 111,699

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Solution

The third proportional to 74,456 and 111,699 is: 167,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,456 : 111,699 = 111,699 : x
  2. Step 2: Convert to fraction form
    74,456/111,699 = 111,699/x
  3. Step 3: Cross multiply
    74,456x = 111,699 × 111,699
  4. Step 4: Simplify right side
    74,456x = 12,476,666,601
  5. Step 5: Solve for x
    x = 12,476,666,601/74,456
  6. Step 6: Final answer
    x = 167,571.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.