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Finding the Third Proportional to 133,941.94 and 182,403.56

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Solution

The third proportional to 133,941.94 and 182,403.56 is: 248,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,941.94 : 182,403.56 = 182,403.56 : x
  2. Step 2: Convert to fraction form
    133,941.94/182,403.56 = 182,403.56/x
  3. Step 3: Cross multiply
    133,941.94x = 182,403.56 × 182,403.56
  4. Step 4: Simplify right side
    133,941.94x = 33,271,059,612.69
  5. Step 5: Solve for x
    x = 33,271,059,612.69/133,941.94
  6. Step 6: Final answer
    x = 248,399.12

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.