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Finding the Third Proportional to 83,524 and 120,678

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Solution

The third proportional to 83,524 and 120,678 is: 174,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,524 : 120,678 = 120,678 : x
  2. Step 2: Convert to fraction form
    83,524/120,678 = 120,678/x
  3. Step 3: Cross multiply
    83,524x = 120,678 × 120,678
  4. Step 4: Simplify right side
    83,524x = 14,563,179,684
  5. Step 5: Solve for x
    x = 14,563,179,684/83,524
  6. Step 6: Final answer
    x = 174,359.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.