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Finding the Third Proportional to 55,286 and 113,854

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Solution

The third proportional to 55,286 and 113,854 is: 234,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286 : 113,854 = 113,854 : x
  2. Step 2: Convert to fraction form
    55,286/113,854 = 113,854/x
  3. Step 3: Cross multiply
    55,286x = 113,854 × 113,854
  4. Step 4: Simplify right side
    55,286x = 12,962,733,316
  5. Step 5: Solve for x
    x = 12,962,733,316/55,286
  6. Step 6: Final answer
    x = 234,466.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.