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Finding the Third Proportional to 87,160 and 188,144

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Solution

The third proportional to 87,160 and 188,144 is: 406,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,160 : 188,144 = 188,144 : x
  2. Step 2: Convert to fraction form
    87,160/188,144 = 188,144/x
  3. Step 3: Cross multiply
    87,160x = 188,144 × 188,144
  4. Step 4: Simplify right side
    87,160x = 35,398,164,736
  5. Step 5: Solve for x
    x = 35,398,164,736/87,160
  6. Step 6: Final answer
    x = 406,128.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.