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Finding the Third Proportional to 75,440.11 and 159,873.12

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Solution

The third proportional to 75,440.11 and 159,873.12 is: 338,804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,440.11 : 159,873.12 = 159,873.12 : x
  2. Step 2: Convert to fraction form
    75,440.11/159,873.12 = 159,873.12/x
  3. Step 3: Cross multiply
    75,440.11x = 159,873.12 × 159,873.12
  4. Step 4: Simplify right side
    75,440.11x = 25,559,413,599.25
  5. Step 5: Solve for x
    x = 25,559,413,599.25/75,440.11
  6. Step 6: Final answer
    x = 338,804.04

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.