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Finding the Third Proportional to 92,519 and 132,205

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Solution

The third proportional to 92,519 and 132,205 is: 188,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,519 : 132,205 = 132,205 : x
  2. Step 2: Convert to fraction form
    92,519/132,205 = 132,205/x
  3. Step 3: Cross multiply
    92,519x = 132,205 × 132,205
  4. Step 4: Simplify right side
    92,519x = 17,478,162,025
  5. Step 5: Solve for x
    x = 17,478,162,025/92,519
  6. Step 6: Final answer
    x = 188,914.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.