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Finding the Third Proportional to 49,278 and 108,102

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Solution

The third proportional to 49,278 and 108,102 is: 237,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,278 : 108,102 = 108,102 : x
  2. Step 2: Convert to fraction form
    49,278/108,102 = 108,102/x
  3. Step 3: Cross multiply
    49,278x = 108,102 × 108,102
  4. Step 4: Simplify right side
    49,278x = 11,686,042,404
  5. Step 5: Solve for x
    x = 11,686,042,404/49,278
  6. Step 6: Final answer
    x = 237,145.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.