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Finding the Third Proportional to 84,771 and 128,250

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Solution

The third proportional to 84,771 and 128,250 is: 194,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,771 : 128,250 = 128,250 : x
  2. Step 2: Convert to fraction form
    84,771/128,250 = 128,250/x
  3. Step 3: Cross multiply
    84,771x = 128,250 × 128,250
  4. Step 4: Simplify right side
    84,771x = 16,448,062,500
  5. Step 5: Solve for x
    x = 16,448,062,500/84,771
  6. Step 6: Final answer
    x = 194,029.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.