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Finding the Third Proportional to 46,294 and 108,519

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Solution

The third proportional to 46,294 and 108,519 is: 254,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,294 : 108,519 = 108,519 : x
  2. Step 2: Convert to fraction form
    46,294/108,519 = 108,519/x
  3. Step 3: Cross multiply
    46,294x = 108,519 × 108,519
  4. Step 4: Simplify right side
    46,294x = 11,776,373,361
  5. Step 5: Solve for x
    x = 11,776,373,361/46,294
  6. Step 6: Final answer
    x = 254,382.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.