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Finding the Third Proportional to 52,884 and 119,085

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Solution

The third proportional to 52,884 and 119,085 is: 268,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,884 : 119,085 = 119,085 : x
  2. Step 2: Convert to fraction form
    52,884/119,085 = 119,085/x
  3. Step 3: Cross multiply
    52,884x = 119,085 × 119,085
  4. Step 4: Simplify right side
    52,884x = 14,181,237,225
  5. Step 5: Solve for x
    x = 14,181,237,225/52,884
  6. Step 6: Final answer
    x = 268,157.42

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.