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Finding the Third Proportional to 103,105.09 and 164,063.44

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Solution

The third proportional to 103,105.09 and 164,063.44 is: 261,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,105.09 : 164,063.44 = 164,063.44 : x
  2. Step 2: Convert to fraction form
    103,105.09/164,063.44 = 164,063.44/x
  3. Step 3: Cross multiply
    103,105.09x = 164,063.44 × 164,063.44
  4. Step 4: Simplify right side
    103,105.09x = 26,916,813,446.94
  5. Step 5: Solve for x
    x = 26,916,813,446.94/103,105.09
  6. Step 6: Final answer
    x = 261,061.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.