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Finding the Third Proportional to 56,405.75 and 120,317.50

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Solution

The third proportional to 56,405.75 and 120,317.50 is: 256,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,405.75 : 120,317.50 = 120,317.50 : x
  2. Step 2: Convert to fraction form
    56,405.75/120,317.50 = 120,317.50/x
  3. Step 3: Cross multiply
    56,405.75x = 120,317.50 × 120,317.50
  4. Step 4: Simplify right side
    56,405.75x = 14,476,300,806.25
  5. Step 5: Solve for x
    x = 14,476,300,806.25/56,405.75
  6. Step 6: Final answer
    x = 256,645.83

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.