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Finding the Third Proportional to 75,914 and 114,115

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Solution

The third proportional to 75,914 and 114,115 is: 171,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,914 : 114,115 = 114,115 : x
  2. Step 2: Convert to fraction form
    75,914/114,115 = 114,115/x
  3. Step 3: Cross multiply
    75,914x = 114,115 × 114,115
  4. Step 4: Simplify right side
    75,914x = 13,022,233,225
  5. Step 5: Solve for x
    x = 13,022,233,225/75,914
  6. Step 6: Final answer
    x = 171,539.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.