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Finding the Third Proportional to 119,010.75 and 182,292.75

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Solution

The third proportional to 119,010.75 and 182,292.75 is: 279,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,010.75 : 182,292.75 = 182,292.75 : x
  2. Step 2: Convert to fraction form
    119,010.75/182,292.75 = 182,292.75/x
  3. Step 3: Cross multiply
    119,010.75x = 182,292.75 × 182,292.75
  4. Step 4: Simplify right side
    119,010.75x = 33,230,646,702.56
  5. Step 5: Solve for x
    x = 33,230,646,702.56/119,010.75
  6. Step 6: Final answer
    x = 279,223.91

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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.