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Finding the Third Proportional to 119,050.50 and 179,792.25

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Solution

The third proportional to 119,050.50 and 179,792.25 is: 271,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,050.50 : 179,792.25 = 179,792.25 : x
  2. Step 2: Convert to fraction form
    119,050.50/179,792.25 = 179,792.25/x
  3. Step 3: Cross multiply
    119,050.50x = 179,792.25 × 179,792.25
  4. Step 4: Simplify right side
    119,050.50x = 32,325,253,160.06
  5. Step 5: Solve for x
    x = 32,325,253,160.06/119,050.50
  6. Step 6: Final answer
    x = 271,525.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.