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Finding the Third Proportional to 92,636 and 188,545

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Solution

The third proportional to 92,636 and 188,545 is: 383,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,636 : 188,545 = 188,545 : x
  2. Step 2: Convert to fraction form
    92,636/188,545 = 188,545/x
  3. Step 3: Cross multiply
    92,636x = 188,545 × 188,545
  4. Step 4: Simplify right side
    92,636x = 35,549,217,025
  5. Step 5: Solve for x
    x = 35,549,217,025/92,636
  6. Step 6: Final answer
    x = 383,751.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.