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Finding the Third Proportional to 57,055.50 and 120,483

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Solution

The third proportional to 57,055.50 and 120,483 is: 254,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,055.50 : 120,483 = 120,483 : x
  2. Step 2: Convert to fraction form
    57,055.50/120,483 = 120,483/x
  3. Step 3: Cross multiply
    57,055.50x = 120,483 × 120,483
  4. Step 4: Simplify right side
    57,055.50x = 14,516,153,289
  5. Step 5: Solve for x
    x = 14,516,153,289/57,055.50
  6. Step 6: Final answer
    x = 254,421.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.