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Finding the Third Proportional to 72,405.50 and 154,936

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Solution

The third proportional to 72,405.50 and 154,936 is: 331,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,405.50 : 154,936 = 154,936 : x
  2. Step 2: Convert to fraction form
    72,405.50/154,936 = 154,936/x
  3. Step 3: Cross multiply
    72,405.50x = 154,936 × 154,936
  4. Step 4: Simplify right side
    72,405.50x = 24,005,164,096
  5. Step 5: Solve for x
    x = 24,005,164,096/72,405.50
  6. Step 6: Final answer
    x = 331,537.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.