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Finding the Third Proportional to 92,638 and 188,557

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Solution

The third proportional to 92,638 and 188,557 is: 383,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,638 : 188,557 = 188,557 : x
  2. Step 2: Convert to fraction form
    92,638/188,557 = 188,557/x
  3. Step 3: Cross multiply
    92,638x = 188,557 × 188,557
  4. Step 4: Simplify right side
    92,638x = 35,553,742,249
  5. Step 5: Solve for x
    x = 35,553,742,249/92,638
  6. Step 6: Final answer
    x = 383,792.20

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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.