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Finding the Third Proportional to 114,826 and 168,837

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Solution

The third proportional to 114,826 and 168,837 is: 248,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,826 : 168,837 = 168,837 : x
  2. Step 2: Convert to fraction form
    114,826/168,837 = 168,837/x
  3. Step 3: Cross multiply
    114,826x = 168,837 × 168,837
  4. Step 4: Simplify right side
    114,826x = 28,505,932,569
  5. Step 5: Solve for x
    x = 28,505,932,569/114,826
  6. Step 6: Final answer
    x = 248,253.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.