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Finding the Third Proportional to 46,334 and 69,519

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Solution

The third proportional to 46,334 and 69,519 is: 104,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,334 : 69,519 = 69,519 : x
  2. Step 2: Convert to fraction form
    46,334/69,519 = 69,519/x
  3. Step 3: Cross multiply
    46,334x = 69,519 × 69,519
  4. Step 4: Simplify right side
    46,334x = 4,832,891,361
  5. Step 5: Solve for x
    x = 4,832,891,361/46,334
  6. Step 6: Final answer
    x = 104,305.51

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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.