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Finding the Third Proportional to 114,419 and 177,960

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Solution

The third proportional to 114,419 and 177,960 is: 276,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,419 : 177,960 = 177,960 : x
  2. Step 2: Convert to fraction form
    114,419/177,960 = 177,960/x
  3. Step 3: Cross multiply
    114,419x = 177,960 × 177,960
  4. Step 4: Simplify right side
    114,419x = 31,669,761,600
  5. Step 5: Solve for x
    x = 31,669,761,600/114,419
  6. Step 6: Final answer
    x = 276,787.61

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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.