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Finding the Third Proportional to 126,599.50 and 194,127

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Solution

The third proportional to 126,599.50 and 194,127 is: 297,673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,599.50 : 194,127 = 194,127 : x
  2. Step 2: Convert to fraction form
    126,599.50/194,127 = 194,127/x
  3. Step 3: Cross multiply
    126,599.50x = 194,127 × 194,127
  4. Step 4: Simplify right side
    126,599.50x = 37,685,292,129
  5. Step 5: Solve for x
    x = 37,685,292,129/126,599.50
  6. Step 6: Final answer
    x = 297,673.31

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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.