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Finding the Third Proportional to 88,591 and 134,526

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Solution

The third proportional to 88,591 and 134,526 is: 204,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,591 : 134,526 = 134,526 : x
  2. Step 2: Convert to fraction form
    88,591/134,526 = 134,526/x
  3. Step 3: Cross multiply
    88,591x = 134,526 × 134,526
  4. Step 4: Simplify right side
    88,591x = 18,097,244,676
  5. Step 5: Solve for x
    x = 18,097,244,676/88,591
  6. Step 6: Final answer
    x = 204,278.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.