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Finding the Third Proportional to 56,143.13 and 120,102.75

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Solution

The third proportional to 56,143.13 and 120,102.75 is: 256,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,143.13 : 120,102.75 = 120,102.75 : x
  2. Step 2: Convert to fraction form
    56,143.13/120,102.75 = 120,102.75/x
  3. Step 3: Cross multiply
    56,143.13x = 120,102.75 × 120,102.75
  4. Step 4: Simplify right side
    56,143.13x = 14,424,670,557.56
  5. Step 5: Solve for x
    x = 14,424,670,557.56/56,143.13
  6. Step 6: Final answer
    x = 256,926.75

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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.