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Finding the Third Proportional to 118,694 and 181,035

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Solution

The third proportional to 118,694 and 181,035 is: 276,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,694 : 181,035 = 181,035 : x
  2. Step 2: Convert to fraction form
    118,694/181,035 = 181,035/x
  3. Step 3: Cross multiply
    118,694x = 181,035 × 181,035
  4. Step 4: Simplify right side
    118,694x = 32,773,671,225
  5. Step 5: Solve for x
    x = 32,773,671,225/118,694
  6. Step 6: Final answer
    x = 276,119.02

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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.