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Finding the Third Proportional to 51,172.31 and 77,553.56

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Solution

The third proportional to 51,172.31 and 77,553.56 is: 117,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,172.31 : 77,553.56 = 77,553.56 : x
  2. Step 2: Convert to fraction form
    51,172.31/77,553.56 = 77,553.56/x
  3. Step 3: Cross multiply
    51,172.31x = 77,553.56 × 77,553.56
  4. Step 4: Simplify right side
    51,172.31x = 6,014,555,056.44
  5. Step 5: Solve for x
    x = 6,014,555,056.44/51,172.31
  6. Step 6: Final answer
    x = 117,535.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.