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Finding the Third Proportional to 118,546.88 and 181,767.38

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Solution

The third proportional to 118,546.88 and 181,767.38 is: 278,703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,546.88 : 181,767.38 = 181,767.38 : x
  2. Step 2: Convert to fraction form
    118,546.88/181,767.38 = 181,767.38/x
  3. Step 3: Cross multiply
    118,546.88x = 181,767.38 × 181,767.38
  4. Step 4: Simplify right side
    118,546.88x = 33,039,378,614.39
  5. Step 5: Solve for x
    x = 33,039,378,614.39/118,546.88
  6. Step 6: Final answer
    x = 278,703.08

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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.