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Finding the Third Proportional to 51,554 and 75,819

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Solution

The third proportional to 51,554 and 75,819 is: 111,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,554 : 75,819 = 75,819 : x
  2. Step 2: Convert to fraction form
    51,554/75,819 = 75,819/x
  3. Step 3: Cross multiply
    51,554x = 75,819 × 75,819
  4. Step 4: Simplify right side
    51,554x = 5,748,520,761
  5. Step 5: Solve for x
    x = 5,748,520,761/51,554
  6. Step 6: Final answer
    x = 111,504.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.