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Finding the Third Proportional to 53,950 and 81,654

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Solution

The third proportional to 53,950 and 81,654 is: 123,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,950 : 81,654 = 81,654 : x
  2. Step 2: Convert to fraction form
    53,950/81,654 = 81,654/x
  3. Step 3: Cross multiply
    53,950x = 81,654 × 81,654
  4. Step 4: Simplify right side
    53,950x = 6,667,375,716
  5. Step 5: Solve for x
    x = 6,667,375,716/53,950
  6. Step 6: Final answer
    x = 123,584.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.