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Finding the Third Proportional to 77,894 and 165,510

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Solution

The third proportional to 77,894 and 165,510 is: 351,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,894 : 165,510 = 165,510 : x
  2. Step 2: Convert to fraction form
    77,894/165,510 = 165,510/x
  3. Step 3: Cross multiply
    77,894x = 165,510 × 165,510
  4. Step 4: Simplify right side
    77,894x = 27,393,560,100
  5. Step 5: Solve for x
    x = 27,393,560,100/77,894
  6. Step 6: Final answer
    x = 351,677.41

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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.