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Finding the Third Proportional to 114,080.25 and 177,343

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Solution

The third proportional to 114,080.25 and 177,343 is: 275,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,080.25 : 177,343 = 177,343 : x
  2. Step 2: Convert to fraction form
    114,080.25/177,343 = 177,343/x
  3. Step 3: Cross multiply
    114,080.25x = 177,343 × 177,343
  4. Step 4: Simplify right side
    114,080.25x = 31,450,539,649
  5. Step 5: Solve for x
    x = 31,450,539,649/114,080.25
  6. Step 6: Final answer
    x = 275,687.86

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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.