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Finding the Third Proportional to 129,174.75 and 188,658

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Solution

The third proportional to 129,174.75 and 188,658 is: 275,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,174.75 : 188,658 = 188,658 : x
  2. Step 2: Convert to fraction form
    129,174.75/188,658 = 188,658/x
  3. Step 3: Cross multiply
    129,174.75x = 188,658 × 188,658
  4. Step 4: Simplify right side
    129,174.75x = 35,591,840,964
  5. Step 5: Solve for x
    x = 35,591,840,964/129,174.75
  6. Step 6: Final answer
    x = 275,532.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.