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Finding the Third Proportional to 119,133 and 185,234

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Solution

The third proportional to 119,133 and 185,234 is: 288,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,133 : 185,234 = 185,234 : x
  2. Step 2: Convert to fraction form
    119,133/185,234 = 185,234/x
  3. Step 3: Cross multiply
    119,133x = 185,234 × 185,234
  4. Step 4: Simplify right side
    119,133x = 34,311,634,756
  5. Step 5: Solve for x
    x = 34,311,634,756/119,133
  6. Step 6: Final answer
    x = 288,011.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.