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Finding the Third Proportional to 74,094 and 107,109

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Solution

The third proportional to 74,094 and 107,109 is: 154,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,094 : 107,109 = 107,109 : x
  2. Step 2: Convert to fraction form
    74,094/107,109 = 107,109/x
  3. Step 3: Cross multiply
    74,094x = 107,109 × 107,109
  4. Step 4: Simplify right side
    74,094x = 11,472,337,881
  5. Step 5: Solve for x
    x = 11,472,337,881/74,094
  6. Step 6: Final answer
    x = 154,834.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.