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Finding the Third Proportional to 92,576 and 191,716

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Solution

The third proportional to 92,576 and 191,716 is: 397,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,576 : 191,716 = 191,716 : x
  2. Step 2: Convert to fraction form
    92,576/191,716 = 191,716/x
  3. Step 3: Cross multiply
    92,576x = 191,716 × 191,716
  4. Step 4: Simplify right side
    92,576x = 36,755,024,656
  5. Step 5: Solve for x
    x = 36,755,024,656/92,576
  6. Step 6: Final answer
    x = 397,025.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.