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Finding the Third Proportional to 51,507 and 108,551

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Solution

The third proportional to 51,507 and 108,551 is: 228,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,507 : 108,551 = 108,551 : x
  2. Step 2: Convert to fraction form
    51,507/108,551 = 108,551/x
  3. Step 3: Cross multiply
    51,507x = 108,551 × 108,551
  4. Step 4: Simplify right side
    51,507x = 11,783,319,601
  5. Step 5: Solve for x
    x = 11,783,319,601/51,507
  6. Step 6: Final answer
    x = 228,771.23

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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.