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Finding the Third Proportional to 53,912 and 111,282

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Solution

The third proportional to 53,912 and 111,282 is: 229,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,912 : 111,282 = 111,282 : x
  2. Step 2: Convert to fraction form
    53,912/111,282 = 111,282/x
  3. Step 3: Cross multiply
    53,912x = 111,282 × 111,282
  4. Step 4: Simplify right side
    53,912x = 12,383,683,524
  5. Step 5: Solve for x
    x = 12,383,683,524/53,912
  6. Step 6: Final answer
    x = 229,701.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.