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Finding the Third Proportional to 51,257.25 and 110,180.25

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Solution

The third proportional to 51,257.25 and 110,180.25 is: 236,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257.25 : 110,180.25 = 110,180.25 : x
  2. Step 2: Convert to fraction form
    51,257.25/110,180.25 = 110,180.25/x
  3. Step 3: Cross multiply
    51,257.25x = 110,180.25 × 110,180.25
  4. Step 4: Simplify right side
    51,257.25x = 12,139,687,490.06
  5. Step 5: Solve for x
    x = 12,139,687,490.06/51,257.25
  6. Step 6: Final answer
    x = 236,838.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.