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Finding the Third Proportional to 51,146.44 and 79,319.25

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Solution

The third proportional to 51,146.44 and 79,319.25 is: 123,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,146.44 : 79,319.25 = 79,319.25 : x
  2. Step 2: Convert to fraction form
    51,146.44/79,319.25 = 79,319.25/x
  3. Step 3: Cross multiply
    51,146.44x = 79,319.25 × 79,319.25
  4. Step 4: Simplify right side
    51,146.44x = 6,291,543,420.56
  5. Step 5: Solve for x
    x = 6,291,543,420.56/51,146.44
  6. Step 6: Final answer
    x = 123,010.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.