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Finding the Third Proportional to 56,200.75 and 120,373.25

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Solution

The third proportional to 56,200.75 and 120,373.25 is: 257,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,200.75 : 120,373.25 = 120,373.25 : x
  2. Step 2: Convert to fraction form
    56,200.75/120,373.25 = 120,373.25/x
  3. Step 3: Cross multiply
    56,200.75x = 120,373.25 × 120,373.25
  4. Step 4: Simplify right side
    56,200.75x = 14,489,719,315.56
  5. Step 5: Solve for x
    x = 14,489,719,315.56/56,200.75
  6. Step 6: Final answer
    x = 257,820.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.