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Finding the Third Proportional to 116,367.38 and 177,935.63

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Solution

The third proportional to 116,367.38 and 177,935.63 is: 272,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,367.38 : 177,935.63 = 177,935.63 : x
  2. Step 2: Convert to fraction form
    116,367.38/177,935.63 = 177,935.63/x
  3. Step 3: Cross multiply
    116,367.38x = 177,935.63 × 177,935.63
  4. Step 4: Simplify right side
    116,367.38x = 31,661,086,644.14
  5. Step 5: Solve for x
    x = 31,661,086,644.14/116,367.38
  6. Step 6: Final answer
    x = 272,078.72

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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.