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Finding the Third Proportional to 57,882 and 118,836

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Solution

The third proportional to 57,882 and 118,836 is: 243,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,882 : 118,836 = 118,836 : x
  2. Step 2: Convert to fraction form
    57,882/118,836 = 118,836/x
  3. Step 3: Cross multiply
    57,882x = 118,836 × 118,836
  4. Step 4: Simplify right side
    57,882x = 14,121,994,896
  5. Step 5: Solve for x
    x = 14,121,994,896/57,882
  6. Step 6: Final answer
    x = 243,979.04

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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.