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Finding the Third Proportional to 119,691 and 182,133

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Solution

The third proportional to 119,691 and 182,133 is: 277,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,691 : 182,133 = 182,133 : x
  2. Step 2: Convert to fraction form
    119,691/182,133 = 182,133/x
  3. Step 3: Cross multiply
    119,691x = 182,133 × 182,133
  4. Step 4: Simplify right side
    119,691x = 33,172,429,689
  5. Step 5: Solve for x
    x = 33,172,429,689/119,691
  6. Step 6: Final answer
    x = 277,150.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.