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Finding the Third Proportional to 76,497 and 165,701

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Solution

The third proportional to 76,497 and 165,701 is: 358,926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,497 : 165,701 = 165,701 : x
  2. Step 2: Convert to fraction form
    76,497/165,701 = 165,701/x
  3. Step 3: Cross multiply
    76,497x = 165,701 × 165,701
  4. Step 4: Simplify right side
    76,497x = 27,456,821,401
  5. Step 5: Solve for x
    x = 27,456,821,401/76,497
  6. Step 6: Final answer
    x = 358,926.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.