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Finding the Third Proportional to 51,212 and 118,634

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Solution

The third proportional to 51,212 and 118,634 is: 274,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,212 : 118,634 = 118,634 : x
  2. Step 2: Convert to fraction form
    51,212/118,634 = 118,634/x
  3. Step 3: Cross multiply
    51,212x = 118,634 × 118,634
  4. Step 4: Simplify right side
    51,212x = 14,074,025,956
  5. Step 5: Solve for x
    x = 14,074,025,956/51,212
  6. Step 6: Final answer
    x = 274,818.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.