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Finding the Third Proportional to 71,944.50 and 105,972

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Solution

The third proportional to 71,944.50 and 105,972 is: 156,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,944.50 : 105,972 = 105,972 : x
  2. Step 2: Convert to fraction form
    71,944.50/105,972 = 105,972/x
  3. Step 3: Cross multiply
    71,944.50x = 105,972 × 105,972
  4. Step 4: Simplify right side
    71,944.50x = 11,230,064,784
  5. Step 5: Solve for x
    x = 11,230,064,784/71,944.50
  6. Step 6: Final answer
    x = 156,093.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.