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Finding the Third Proportional to 114,636 and 177,138

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Solution

The third proportional to 114,636 and 177,138 is: 273,717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,636 : 177,138 = 177,138 : x
  2. Step 2: Convert to fraction form
    114,636/177,138 = 177,138/x
  3. Step 3: Cross multiply
    114,636x = 177,138 × 177,138
  4. Step 4: Simplify right side
    114,636x = 31,377,871,044
  5. Step 5: Solve for x
    x = 31,377,871,044/114,636
  6. Step 6: Final answer
    x = 273,717.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.