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Finding the Third Proportional to 51,956.44 and 112,220.44

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Solution

The third proportional to 51,956.44 and 112,220.44 is: 242,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,956.44 : 112,220.44 = 112,220.44 : x
  2. Step 2: Convert to fraction form
    51,956.44/112,220.44 = 112,220.44/x
  3. Step 3: Cross multiply
    51,956.44x = 112,220.44 × 112,220.44
  4. Step 4: Simplify right side
    51,956.44x = 12,593,426,592.69
  5. Step 5: Solve for x
    x = 12,593,426,592.69/51,956.44
  6. Step 6: Final answer
    x = 242,384.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.