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Finding the Third Proportional to 75,177 and 163,469.25

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Solution

The third proportional to 75,177 and 163,469.25 is: 355,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,177 : 163,469.25 = 163,469.25 : x
  2. Step 2: Convert to fraction form
    75,177/163,469.25 = 163,469.25/x
  3. Step 3: Cross multiply
    75,177x = 163,469.25 × 163,469.25
  4. Step 4: Simplify right side
    75,177x = 26,722,195,695.56
  5. Step 5: Solve for x
    x = 26,722,195,695.56/75,177
  6. Step 6: Final answer
    x = 355,457.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.