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Finding the Third Proportional to 49,284 and 106,875

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Solution

The third proportional to 49,284 and 106,875 is: 231,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,284 : 106,875 = 106,875 : x
  2. Step 2: Convert to fraction form
    49,284/106,875 = 106,875/x
  3. Step 3: Cross multiply
    49,284x = 106,875 × 106,875
  4. Step 4: Simplify right side
    49,284x = 11,422,265,625
  5. Step 5: Solve for x
    x = 11,422,265,625/49,284
  6. Step 6: Final answer
    x = 231,764.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.