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Finding the Third Proportional to 119,984 and 183,612

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Solution

The third proportional to 119,984 and 183,612 is: 280,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,984 : 183,612 = 183,612 : x
  2. Step 2: Convert to fraction form
    119,984/183,612 = 183,612/x
  3. Step 3: Cross multiply
    119,984x = 183,612 × 183,612
  4. Step 4: Simplify right side
    119,984x = 33,713,366,544
  5. Step 5: Solve for x
    x = 33,713,366,544/119,984
  6. Step 6: Final answer
    x = 280,982.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.