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Finding the Third Proportional to 116,115.75 and 179,456.63

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Solution

The third proportional to 116,115.75 and 179,456.63 is: 277,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,115.75 : 179,456.63 = 179,456.63 : x
  2. Step 2: Convert to fraction form
    116,115.75/179,456.63 = 179,456.63/x
  3. Step 3: Cross multiply
    116,115.75x = 179,456.63 × 179,456.63
  4. Step 4: Simplify right side
    116,115.75x = 32,204,680,256.39
  5. Step 5: Solve for x
    x = 32,204,680,256.39/116,115.75
  6. Step 6: Final answer
    x = 277,349.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.