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Finding the Third Proportional to 107,710.50 and 150,936

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Solution

The third proportional to 107,710.50 and 150,936 is: 211,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,710.50 : 150,936 = 150,936 : x
  2. Step 2: Convert to fraction form
    107,710.50/150,936 = 150,936/x
  3. Step 3: Cross multiply
    107,710.50x = 150,936 × 150,936
  4. Step 4: Simplify right side
    107,710.50x = 22,781,676,096
  5. Step 5: Solve for x
    x = 22,781,676,096/107,710.50
  6. Step 6: Final answer
    x = 211,508.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.