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Finding the Third Proportional to 75,880 and 114,063

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Solution

The third proportional to 75,880 and 114,063 is: 171,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,880 : 114,063 = 114,063 : x
  2. Step 2: Convert to fraction form
    75,880/114,063 = 114,063/x
  3. Step 3: Cross multiply
    75,880x = 114,063 × 114,063
  4. Step 4: Simplify right side
    75,880x = 13,010,367,969
  5. Step 5: Solve for x
    x = 13,010,367,969/75,880
  6. Step 6: Final answer
    x = 171,459.78

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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.