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Finding the Third Proportional to 118,158 and 181,617.75

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Solution

The third proportional to 118,158 and 181,617.75 is: 279,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,158 : 181,617.75 = 181,617.75 : x
  2. Step 2: Convert to fraction form
    118,158/181,617.75 = 181,617.75/x
  3. Step 3: Cross multiply
    118,158x = 181,617.75 × 181,617.75
  4. Step 4: Simplify right side
    118,158x = 32,985,007,115.06
  5. Step 5: Solve for x
    x = 32,985,007,115.06/118,158
  6. Step 6: Final answer
    x = 279,160.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.