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Finding the Third Proportional to 77,728.25 and 167,863

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Solution

The third proportional to 77,728.25 and 167,863 is: 362,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,728.25 : 167,863 = 167,863 : x
  2. Step 2: Convert to fraction form
    77,728.25/167,863 = 167,863/x
  3. Step 3: Cross multiply
    77,728.25x = 167,863 × 167,863
  4. Step 4: Simplify right side
    77,728.25x = 28,177,986,769
  5. Step 5: Solve for x
    x = 28,177,986,769/77,728.25
  6. Step 6: Final answer
    x = 362,519.25

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Why These Related Problems?

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