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Finding the Third Proportional to 126,223.31 and 194,000.06

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Solution

The third proportional to 126,223.31 and 194,000.06 is: 298,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,223.31 : 194,000.06 = 194,000.06 : x
  2. Step 2: Convert to fraction form
    126,223.31/194,000.06 = 194,000.06/x
  3. Step 3: Cross multiply
    126,223.31x = 194,000.06 × 194,000.06
  4. Step 4: Simplify right side
    126,223.31x = 37,636,024,250.00
  5. Step 5: Solve for x
    x = 37,636,024,250.00/126,223.31
  6. Step 6: Final answer
    x = 298,170.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.