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Finding the Third Proportional to 114,882 and 171,634

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Solution

The third proportional to 114,882 and 171,634 is: 256,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,882 : 171,634 = 171,634 : x
  2. Step 2: Convert to fraction form
    114,882/171,634 = 171,634/x
  3. Step 3: Cross multiply
    114,882x = 171,634 × 171,634
  4. Step 4: Simplify right side
    114,882x = 29,458,229,956
  5. Step 5: Solve for x
    x = 29,458,229,956/114,882
  6. Step 6: Final answer
    x = 256,421.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.