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Finding the Third Proportional to 76,197 and 167,160

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Solution

The third proportional to 76,197 and 167,160 is: 366,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,197 : 167,160 = 167,160 : x
  2. Step 2: Convert to fraction form
    76,197/167,160 = 167,160/x
  3. Step 3: Cross multiply
    76,197x = 167,160 × 167,160
  4. Step 4: Simplify right side
    76,197x = 27,942,465,600
  5. Step 5: Solve for x
    x = 27,942,465,600/76,197
  6. Step 6: Final answer
    x = 366,713.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.