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Finding the Third Proportional to 119,072 and 161,704

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Solution

The third proportional to 119,072 and 161,704 is: 219,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,072 : 161,704 = 161,704 : x
  2. Step 2: Convert to fraction form
    119,072/161,704 = 161,704/x
  3. Step 3: Cross multiply
    119,072x = 161,704 × 161,704
  4. Step 4: Simplify right side
    119,072x = 26,148,183,616
  5. Step 5: Solve for x
    x = 26,148,183,616/119,072
  6. Step 6: Final answer
    x = 219,599.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.