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Finding the Third Proportional to 88,649 and 189,751

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Solution

The third proportional to 88,649 and 189,751 is: 406,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,649 : 189,751 = 189,751 : x
  2. Step 2: Convert to fraction form
    88,649/189,751 = 189,751/x
  3. Step 3: Cross multiply
    88,649x = 189,751 × 189,751
  4. Step 4: Simplify right side
    88,649x = 36,005,442,001
  5. Step 5: Solve for x
    x = 36,005,442,001/88,649
  6. Step 6: Final answer
    x = 406,157.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.