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Finding the Third Proportional to 76,695 and 157,107

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Solution

The third proportional to 76,695 and 157,107 is: 321,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,695 : 157,107 = 157,107 : x
  2. Step 2: Convert to fraction form
    76,695/157,107 = 157,107/x
  3. Step 3: Cross multiply
    76,695x = 157,107 × 157,107
  4. Step 4: Simplify right side
    76,695x = 24,682,609,449
  5. Step 5: Solve for x
    x = 24,682,609,449/76,695
  6. Step 6: Final answer
    x = 321,828.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.