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Finding the Third Proportional to 92,824 and 190,566

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Solution

The third proportional to 92,824 and 190,566 is: 391,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,824 : 190,566 = 190,566 : x
  2. Step 2: Convert to fraction form
    92,824/190,566 = 190,566/x
  3. Step 3: Cross multiply
    92,824x = 190,566 × 190,566
  4. Step 4: Simplify right side
    92,824x = 36,315,400,356
  5. Step 5: Solve for x
    x = 36,315,400,356/92,824
  6. Step 6: Final answer
    x = 391,228.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.