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Finding the Third Proportional to 50,784 and 118,638

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Solution

The third proportional to 50,784 and 118,638 is: 277,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,784 : 118,638 = 118,638 : x
  2. Step 2: Convert to fraction form
    50,784/118,638 = 118,638/x
  3. Step 3: Cross multiply
    50,784x = 118,638 × 118,638
  4. Step 4: Simplify right side
    50,784x = 14,074,975,044
  5. Step 5: Solve for x
    x = 14,074,975,044/50,784
  6. Step 6: Final answer
    x = 277,153.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.