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Finding the Third Proportional to 126,582 and 194,247

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Solution

The third proportional to 126,582 and 194,247 is: 298,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,582 : 194,247 = 194,247 : x
  2. Step 2: Convert to fraction form
    126,582/194,247 = 194,247/x
  3. Step 3: Cross multiply
    126,582x = 194,247 × 194,247
  4. Step 4: Simplify right side
    126,582x = 37,731,897,009
  5. Step 5: Solve for x
    x = 37,731,897,009/126,582
  6. Step 6: Final answer
    x = 298,082.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.