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Finding the Third Proportional to 119,636 and 177,141

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Solution

The third proportional to 119,636 and 177,141 is: 262,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,636 : 177,141 = 177,141 : x
  2. Step 2: Convert to fraction form
    119,636/177,141 = 177,141/x
  3. Step 3: Cross multiply
    119,636x = 177,141 × 177,141
  4. Step 4: Simplify right side
    119,636x = 31,378,933,881
  5. Step 5: Solve for x
    x = 31,378,933,881/119,636
  6. Step 6: Final answer
    x = 262,286.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.