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Finding the Third Proportional to 77,678 and 165,524

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Solution

The third proportional to 77,678 and 165,524 is: 352,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,678 : 165,524 = 165,524 : x
  2. Step 2: Convert to fraction form
    77,678/165,524 = 165,524/x
  3. Step 3: Cross multiply
    77,678x = 165,524 × 165,524
  4. Step 4: Simplify right side
    77,678x = 27,398,194,576
  5. Step 5: Solve for x
    x = 27,398,194,576/77,678
  6. Step 6: Final answer
    x = 352,714.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.