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Finding the Third Proportional to 74,526 and 119,673

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Solution

The third proportional to 74,526 and 119,673 is: 192,169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,526 : 119,673 = 119,673 : x
  2. Step 2: Convert to fraction form
    74,526/119,673 = 119,673/x
  3. Step 3: Cross multiply
    74,526x = 119,673 × 119,673
  4. Step 4: Simplify right side
    74,526x = 14,321,626,929
  5. Step 5: Solve for x
    x = 14,321,626,929/74,526
  6. Step 6: Final answer
    x = 192,169.54

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.