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Finding the Third Proportional to 118,963.69 and 176,976.14

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Solution

The third proportional to 118,963.69 and 176,976.14 is: 263,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,963.69 : 176,976.14 = 176,976.14 : x
  2. Step 2: Convert to fraction form
    118,963.69/176,976.14 = 176,976.14/x
  3. Step 3: Cross multiply
    118,963.69x = 176,976.14 × 176,976.14
  4. Step 4: Simplify right side
    118,963.69x = 31,320,554,350.52
  5. Step 5: Solve for x
    x = 31,320,554,350.52/118,963.69
  6. Step 6: Final answer
    x = 263,278.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.