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Finding the Third Proportional to 51,830 and 107,348

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Solution

The third proportional to 51,830 and 107,348 is: 222,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,830 : 107,348 = 107,348 : x
  2. Step 2: Convert to fraction form
    51,830/107,348 = 107,348/x
  3. Step 3: Cross multiply
    51,830x = 107,348 × 107,348
  4. Step 4: Simplify right side
    51,830x = 11,523,593,104
  5. Step 5: Solve for x
    x = 11,523,593,104/51,830
  6. Step 6: Final answer
    x = 222,334.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.