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Finding the Third Proportional to 51,816 and 80,014

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Solution

The third proportional to 51,816 and 80,014 is: 123,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,816 : 80,014 = 80,014 : x
  2. Step 2: Convert to fraction form
    51,816/80,014 = 80,014/x
  3. Step 3: Cross multiply
    51,816x = 80,014 × 80,014
  4. Step 4: Simplify right side
    51,816x = 6,402,240,196
  5. Step 5: Solve for x
    x = 6,402,240,196/51,816
  6. Step 6: Final answer
    x = 123,557.21

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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.