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Finding the Third Proportional to 51,527 and 108,589

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Solution

The third proportional to 51,527 and 108,589 is: 228,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,527 : 108,589 = 108,589 : x
  2. Step 2: Convert to fraction form
    51,527/108,589 = 108,589/x
  3. Step 3: Cross multiply
    51,527x = 108,589 × 108,589
  4. Step 4: Simplify right side
    51,527x = 11,791,570,921
  5. Step 5: Solve for x
    x = 11,791,570,921/51,527
  6. Step 6: Final answer
    x = 228,842.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.