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Finding the Third Proportional to 73,898 and 110,253

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Solution

The third proportional to 73,898 and 110,253 is: 164,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,898 : 110,253 = 110,253 : x
  2. Step 2: Convert to fraction form
    73,898/110,253 = 110,253/x
  3. Step 3: Cross multiply
    73,898x = 110,253 × 110,253
  4. Step 4: Simplify right side
    73,898x = 12,155,724,009
  5. Step 5: Solve for x
    x = 12,155,724,009/73,898
  6. Step 6: Final answer
    x = 164,493.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.