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Finding the Third Proportional to 75,822 and 114,777

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Solution

The third proportional to 75,822 and 114,777 is: 173,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,822 : 114,777 = 114,777 : x
  2. Step 2: Convert to fraction form
    75,822/114,777 = 114,777/x
  3. Step 3: Cross multiply
    75,822x = 114,777 × 114,777
  4. Step 4: Simplify right side
    75,822x = 13,173,759,729
  5. Step 5: Solve for x
    x = 13,173,759,729/75,822
  6. Step 6: Final answer
    x = 173,745.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.