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Finding the Third Proportional to 75,963 and 166,503

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Solution

The third proportional to 75,963 and 166,503 is: 364,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,963 : 166,503 = 166,503 : x
  2. Step 2: Convert to fraction form
    75,963/166,503 = 166,503/x
  3. Step 3: Cross multiply
    75,963x = 166,503 × 166,503
  4. Step 4: Simplify right side
    75,963x = 27,723,249,009
  5. Step 5: Solve for x
    x = 27,723,249,009/75,963
  6. Step 6: Final answer
    x = 364,957.27

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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.