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Finding the Third Proportional to 46,206 and 69,206

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Solution

The third proportional to 46,206 and 69,206 is: 103,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,206 : 69,206 = 69,206 : x
  2. Step 2: Convert to fraction form
    46,206/69,206 = 69,206/x
  3. Step 3: Cross multiply
    46,206x = 69,206 × 69,206
  4. Step 4: Simplify right side
    46,206x = 4,789,470,436
  5. Step 5: Solve for x
    x = 4,789,470,436/46,206
  6. Step 6: Final answer
    x = 103,654.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.