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Finding the Third Proportional to 118,228 and 181,727

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Solution

The third proportional to 118,228 and 181,727 is: 279,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,228 : 181,727 = 181,727 : x
  2. Step 2: Convert to fraction form
    118,228/181,727 = 181,727/x
  3. Step 3: Cross multiply
    118,228x = 181,727 × 181,727
  4. Step 4: Simplify right side
    118,228x = 33,024,702,529
  5. Step 5: Solve for x
    x = 33,024,702,529/118,228
  6. Step 6: Final answer
    x = 279,330.64

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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.