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Finding the Third Proportional to 76,732 and 116,701

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Solution

The third proportional to 76,732 and 116,701 is: 177,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,732 : 116,701 = 116,701 : x
  2. Step 2: Convert to fraction form
    76,732/116,701 = 116,701/x
  3. Step 3: Cross multiply
    76,732x = 116,701 × 116,701
  4. Step 4: Simplify right side
    76,732x = 13,619,123,401
  5. Step 5: Solve for x
    x = 13,619,123,401/76,732
  6. Step 6: Final answer
    x = 177,489.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.