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Finding the Third Proportional to 106,311.50 and 171,294

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Solution

The third proportional to 106,311.50 and 171,294 is: 275,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,311.50 : 171,294 = 171,294 : x
  2. Step 2: Convert to fraction form
    106,311.50/171,294 = 171,294/x
  3. Step 3: Cross multiply
    106,311.50x = 171,294 × 171,294
  4. Step 4: Simplify right side
    106,311.50x = 29,341,634,436
  5. Step 5: Solve for x
    x = 29,341,634,436/106,311.50
  6. Step 6: Final answer
    x = 275,996.81

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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.