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Finding the Third Proportional to 72,441 and 110,815

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Solution

The third proportional to 72,441 and 110,815 is: 169,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,441 : 110,815 = 110,815 : x
  2. Step 2: Convert to fraction form
    72,441/110,815 = 110,815/x
  3. Step 3: Cross multiply
    72,441x = 110,815 × 110,815
  4. Step 4: Simplify right side
    72,441x = 12,279,964,225
  5. Step 5: Solve for x
    x = 12,279,964,225/72,441
  6. Step 6: Final answer
    x = 169,516.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.