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Finding the Third Proportional to 106,524 and 163,938

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Solution

The third proportional to 106,524 and 163,938 is: 252,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,524 : 163,938 = 163,938 : x
  2. Step 2: Convert to fraction form
    106,524/163,938 = 163,938/x
  3. Step 3: Cross multiply
    106,524x = 163,938 × 163,938
  4. Step 4: Simplify right side
    106,524x = 26,875,667,844
  5. Step 5: Solve for x
    x = 26,875,667,844/106,524
  6. Step 6: Final answer
    x = 252,296.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.