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Finding the Third Proportional to 46,508 and 103,348

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Solution

The third proportional to 46,508 and 103,348 is: 229,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,508 : 103,348 = 103,348 : x
  2. Step 2: Convert to fraction form
    46,508/103,348 = 103,348/x
  3. Step 3: Cross multiply
    46,508x = 103,348 × 103,348
  4. Step 4: Simplify right side
    46,508x = 10,680,809,104
  5. Step 5: Solve for x
    x = 10,680,809,104/46,508
  6. Step 6: Final answer
    x = 229,655.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.