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Finding the Third Proportional to 76,742 and 162,609

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Solution

The third proportional to 76,742 and 162,609 is: 344,553.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,742 : 162,609 = 162,609 : x
  2. Step 2: Convert to fraction form
    76,742/162,609 = 162,609/x
  3. Step 3: Cross multiply
    76,742x = 162,609 × 162,609
  4. Step 4: Simplify right side
    76,742x = 26,441,686,881
  5. Step 5: Solve for x
    x = 26,441,686,881/76,742
  6. Step 6: Final answer
    x = 344,553.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.