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Finding the Third Proportional to 88,842 and 189,192

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Solution

The third proportional to 88,842 and 189,192 is: 402,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,842 : 189,192 = 189,192 : x
  2. Step 2: Convert to fraction form
    88,842/189,192 = 189,192/x
  3. Step 3: Cross multiply
    88,842x = 189,192 × 189,192
  4. Step 4: Simplify right side
    88,842x = 35,793,612,864
  5. Step 5: Solve for x
    x = 35,793,612,864/88,842
  6. Step 6: Final answer
    x = 402,890.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.