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Finding the Third Proportional to 84,757 and 188,101

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Solution

The third proportional to 84,757 and 188,101 is: 417,452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,757 : 188,101 = 188,101 : x
  2. Step 2: Convert to fraction form
    84,757/188,101 = 188,101/x
  3. Step 3: Cross multiply
    84,757x = 188,101 × 188,101
  4. Step 4: Simplify right side
    84,757x = 35,381,986,201
  5. Step 5: Solve for x
    x = 35,381,986,201/84,757
  6. Step 6: Final answer
    x = 417,452.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.