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Finding the Third Proportional to 119,980 and 183,606

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Solution

The third proportional to 119,980 and 183,606 is: 280,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,980 : 183,606 = 183,606 : x
  2. Step 2: Convert to fraction form
    119,980/183,606 = 183,606/x
  3. Step 3: Cross multiply
    119,980x = 183,606 × 183,606
  4. Step 4: Simplify right side
    119,980x = 33,711,163,236
  5. Step 5: Solve for x
    x = 33,711,163,236/119,980
  6. Step 6: Final answer
    x = 280,973.19

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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.