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Finding the Third Proportional to 64,519 and 134,950

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Solution

The third proportional to 64,519 and 134,950 is: 282,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,519 : 134,950 = 134,950 : x
  2. Step 2: Convert to fraction form
    64,519/134,950 = 134,950/x
  3. Step 3: Cross multiply
    64,519x = 134,950 × 134,950
  4. Step 4: Simplify right side
    64,519x = 18,211,502,500
  5. Step 5: Solve for x
    x = 18,211,502,500/64,519
  6. Step 6: Final answer
    x = 282,265.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.