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Finding the Third Proportional to 52,583 and 114,085

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Solution

The third proportional to 52,583 and 114,085 is: 247,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,583 : 114,085 = 114,085 : x
  2. Step 2: Convert to fraction form
    52,583/114,085 = 114,085/x
  3. Step 3: Cross multiply
    52,583x = 114,085 × 114,085
  4. Step 4: Simplify right side
    52,583x = 13,015,387,225
  5. Step 5: Solve for x
    x = 13,015,387,225/52,583
  6. Step 6: Final answer
    x = 247,520.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.