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Finding the Third Proportional to 46,265 and 69,214

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Solution

The third proportional to 46,265 and 69,214 is: 103,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,265 : 69,214 = 69,214 : x
  2. Step 2: Convert to fraction form
    46,265/69,214 = 69,214/x
  3. Step 3: Cross multiply
    46,265x = 69,214 × 69,214
  4. Step 4: Simplify right side
    46,265x = 4,790,577,796
  5. Step 5: Solve for x
    x = 4,790,577,796/46,265
  6. Step 6: Final answer
    x = 103,546.48

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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.