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Finding the Third Proportional to 73,898 and 110,252

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Solution

The third proportional to 73,898 and 110,252 is: 164,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,898 : 110,252 = 110,252 : x
  2. Step 2: Convert to fraction form
    73,898/110,252 = 110,252/x
  3. Step 3: Cross multiply
    73,898x = 110,252 × 110,252
  4. Step 4: Simplify right side
    73,898x = 12,155,503,504
  5. Step 5: Solve for x
    x = 12,155,503,504/73,898
  6. Step 6: Final answer
    x = 164,490.29

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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.