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Finding the Third Proportional to 134,950 and 201,682

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Solution

The third proportional to 134,950 and 201,682 is: 301,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,950 : 201,682 = 201,682 : x
  2. Step 2: Convert to fraction form
    134,950/201,682 = 201,682/x
  3. Step 3: Cross multiply
    134,950x = 201,682 × 201,682
  4. Step 4: Simplify right side
    134,950x = 40,675,629,124
  5. Step 5: Solve for x
    x = 40,675,629,124/134,950
  6. Step 6: Final answer
    x = 301,412.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.