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Finding the Third Proportional to 126,000 and 194,953

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Solution

The third proportional to 126,000 and 194,953 is: 301,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,000 : 194,953 = 194,953 : x
  2. Step 2: Convert to fraction form
    126,000/194,953 = 194,953/x
  3. Step 3: Cross multiply
    126,000x = 194,953 × 194,953
  4. Step 4: Simplify right side
    126,000x = 38,006,672,209
  5. Step 5: Solve for x
    x = 38,006,672,209/126,000
  6. Step 6: Final answer
    x = 301,640.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.