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Finding the Third Proportional to 71,922.50 and 110,073.75

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Solution

The third proportional to 71,922.50 and 110,073.75 is: 168,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,922.50 : 110,073.75 = 110,073.75 : x
  2. Step 2: Convert to fraction form
    71,922.50/110,073.75 = 110,073.75/x
  3. Step 3: Cross multiply
    71,922.50x = 110,073.75 × 110,073.75
  4. Step 4: Simplify right side
    71,922.50x = 12,116,230,439.06
  5. Step 5: Solve for x
    x = 12,116,230,439.06/71,922.50
  6. Step 6: Final answer
    x = 168,462.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.