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Finding the Third Proportional to 106,722 and 142,809.75

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Solution

The third proportional to 106,722 and 142,809.75 is: 191,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,722 : 142,809.75 = 142,809.75 : x
  2. Step 2: Convert to fraction form
    106,722/142,809.75 = 142,809.75/x
  3. Step 3: Cross multiply
    106,722x = 142,809.75 × 142,809.75
  4. Step 4: Simplify right side
    106,722x = 20,394,624,695.06
  5. Step 5: Solve for x
    x = 20,394,624,695.06/106,722
  6. Step 6: Final answer
    x = 191,100.47

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.