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Finding the Third Proportional to 51,039 and 79,764.50

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Solution

The third proportional to 51,039 and 79,764.50 is: 124,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,039 : 79,764.50 = 79,764.50 : x
  2. Step 2: Convert to fraction form
    51,039/79,764.50 = 79,764.50/x
  3. Step 3: Cross multiply
    51,039x = 79,764.50 × 79,764.50
  4. Step 4: Simplify right side
    51,039x = 6,362,375,460.25
  5. Step 5: Solve for x
    x = 6,362,375,460.25/51,039
  6. Step 6: Final answer
    x = 124,657.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.