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Finding the Third Proportional to 50,438.63 and 110,673

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Solution

The third proportional to 50,438.63 and 110,673 is: 242,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,438.63 : 110,673 = 110,673 : x
  2. Step 2: Convert to fraction form
    50,438.63/110,673 = 110,673/x
  3. Step 3: Cross multiply
    50,438.63x = 110,673 × 110,673
  4. Step 4: Simplify right side
    50,438.63x = 12,248,512,929
  5. Step 5: Solve for x
    x = 12,248,512,929/50,438.63
  6. Step 6: Final answer
    x = 242,839.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.