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Finding the Third Proportional to 51,836 and 80,044.50

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Solution

The third proportional to 51,836 and 80,044.50 is: 123,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,836 : 80,044.50 = 80,044.50 : x
  2. Step 2: Convert to fraction form
    51,836/80,044.50 = 80,044.50/x
  3. Step 3: Cross multiply
    51,836x = 80,044.50 × 80,044.50
  4. Step 4: Simplify right side
    51,836x = 6,407,121,980.25
  5. Step 5: Solve for x
    x = 6,407,121,980.25/51,836
  6. Step 6: Final answer
    x = 123,603.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.