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Finding the Third Proportional to 88,005 and 189,279

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Solution

The third proportional to 88,005 and 189,279 is: 407,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,005 : 189,279 = 189,279 : x
  2. Step 2: Convert to fraction form
    88,005/189,279 = 189,279/x
  3. Step 3: Cross multiply
    88,005x = 189,279 × 189,279
  4. Step 4: Simplify right side
    88,005x = 35,826,539,841
  5. Step 5: Solve for x
    x = 35,826,539,841/88,005
  6. Step 6: Final answer
    x = 407,096.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.