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Finding the Third Proportional to 92,826 and 190,026

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Solution

The third proportional to 92,826 and 190,026 is: 389,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,826 : 190,026 = 190,026 : x
  2. Step 2: Convert to fraction form
    92,826/190,026 = 190,026/x
  3. Step 3: Cross multiply
    92,826x = 190,026 × 190,026
  4. Step 4: Simplify right side
    92,826x = 36,109,880,676
  5. Step 5: Solve for x
    x = 36,109,880,676/92,826
  6. Step 6: Final answer
    x = 389,006.10

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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.