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Finding the Third Proportional to 73,338 and 110,169

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Solution

The third proportional to 73,338 and 110,169 is: 165,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,338 : 110,169 = 110,169 : x
  2. Step 2: Convert to fraction form
    73,338/110,169 = 110,169/x
  3. Step 3: Cross multiply
    73,338x = 110,169 × 110,169
  4. Step 4: Simplify right side
    73,338x = 12,137,208,561
  5. Step 5: Solve for x
    x = 12,137,208,561/73,338
  6. Step 6: Final answer
    x = 165,496.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.