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Finding the Third Proportional to 119,736 and 159,773

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Solution

The third proportional to 119,736 and 159,773 is: 213,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,736 : 159,773 = 159,773 : x
  2. Step 2: Convert to fraction form
    119,736/159,773 = 159,773/x
  3. Step 3: Cross multiply
    119,736x = 159,773 × 159,773
  4. Step 4: Simplify right side
    119,736x = 25,527,411,529
  5. Step 5: Solve for x
    x = 25,527,411,529/119,736
  6. Step 6: Final answer
    x = 213,197.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.