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Finding the Third Proportional to 117,474.75 and 189,151.88

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Solution

The third proportional to 117,474.75 and 189,151.88 is: 304,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,474.75 : 189,151.88 = 189,151.88 : x
  2. Step 2: Convert to fraction form
    117,474.75/189,151.88 = 189,151.88/x
  3. Step 3: Cross multiply
    117,474.75x = 189,151.88 × 189,151.88
  4. Step 4: Simplify right side
    117,474.75x = 35,778,431,816.02
  5. Step 5: Solve for x
    x = 35,778,431,816.02/117,474.75
  6. Step 6: Final answer
    x = 304,562.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.