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Finding the Third Proportional to 75,894 and 114,086

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Solution

The third proportional to 75,894 and 114,086 is: 171,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894 : 114,086 = 114,086 : x
  2. Step 2: Convert to fraction form
    75,894/114,086 = 114,086/x
  3. Step 3: Cross multiply
    75,894x = 114,086 × 114,086
  4. Step 4: Simplify right side
    75,894x = 13,015,615,396
  5. Step 5: Solve for x
    x = 13,015,615,396/75,894
  6. Step 6: Final answer
    x = 171,497.29

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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.