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Finding the Third Proportional to 119,071.69 and 182,400.19

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Solution

The third proportional to 119,071.69 and 182,400.19 is: 279,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,071.69 : 182,400.19 = 182,400.19 : x
  2. Step 2: Convert to fraction form
    119,071.69/182,400.19 = 182,400.19/x
  3. Step 3: Cross multiply
    119,071.69x = 182,400.19 × 182,400.19
  4. Step 4: Simplify right side
    119,071.69x = 33,269,828,400.04
  5. Step 5: Solve for x
    x = 33,269,828,400.04/119,071.69
  6. Step 6: Final answer
    x = 279,410.07

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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.