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Finding the Third Proportional to 119,618 and 192,731

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Solution

The third proportional to 119,618 and 192,731 is: 310,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,618 : 192,731 = 192,731 : x
  2. Step 2: Convert to fraction form
    119,618/192,731 = 192,731/x
  3. Step 3: Cross multiply
    119,618x = 192,731 × 192,731
  4. Step 4: Simplify right side
    119,618x = 37,145,238,361
  5. Step 5: Solve for x
    x = 37,145,238,361/119,618
  6. Step 6: Final answer
    x = 310,532.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.