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Finding the Third Proportional to 114,762 and 177,255

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Solution

The third proportional to 114,762 and 177,255 is: 273,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,762 : 177,255 = 177,255 : x
  2. Step 2: Convert to fraction form
    114,762/177,255 = 177,255/x
  3. Step 3: Cross multiply
    114,762x = 177,255 × 177,255
  4. Step 4: Simplify right side
    114,762x = 31,419,335,025
  5. Step 5: Solve for x
    x = 31,419,335,025/114,762
  6. Step 6: Final answer
    x = 273,778.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.