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Finding the Third Proportional to 119,277.56 and 182,738.53

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Solution

The third proportional to 119,277.56 and 182,738.53 is: 279,963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,277.56 : 182,738.53 = 182,738.53 : x
  2. Step 2: Convert to fraction form
    119,277.56/182,738.53 = 182,738.53/x
  3. Step 3: Cross multiply
    119,277.56x = 182,738.53 × 182,738.53
  4. Step 4: Simplify right side
    119,277.56x = 33,393,370,803.41
  5. Step 5: Solve for x
    x = 33,393,370,803.41/119,277.56
  6. Step 6: Final answer
    x = 279,963.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.