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Finding the Third Proportional to 79,954 and 119,283

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Solution

The third proportional to 79,954 and 119,283 is: 177,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,954 : 119,283 = 119,283 : x
  2. Step 2: Convert to fraction form
    79,954/119,283 = 119,283/x
  3. Step 3: Cross multiply
    79,954x = 119,283 × 119,283
  4. Step 4: Simplify right side
    79,954x = 14,228,434,089
  5. Step 5: Solve for x
    x = 14,228,434,089/79,954
  6. Step 6: Final answer
    x = 177,957.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.