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Finding the Third Proportional to 51,536 and 108,607

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Solution

The third proportional to 51,536 and 108,607 is: 228,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,536 : 108,607 = 108,607 : x
  2. Step 2: Convert to fraction form
    51,536/108,607 = 108,607/x
  3. Step 3: Cross multiply
    51,536x = 108,607 × 108,607
  4. Step 4: Simplify right side
    51,536x = 11,795,480,449
  5. Step 5: Solve for x
    x = 11,795,480,449/51,536
  6. Step 6: Final answer
    x = 228,878.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.