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Finding the Third Proportional to 114,237 and 177,855

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Solution

The third proportional to 114,237 and 177,855 is: 276,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,237 : 177,855 = 177,855 : x
  2. Step 2: Convert to fraction form
    114,237/177,855 = 177,855/x
  3. Step 3: Cross multiply
    114,237x = 177,855 × 177,855
  4. Step 4: Simplify right side
    114,237x = 31,632,401,025
  5. Step 5: Solve for x
    x = 31,632,401,025/114,237
  6. Step 6: Final answer
    x = 276,901.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.