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Finding the Third Proportional to 83,660 and 175,524

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Solution

The third proportional to 83,660 and 175,524 is: 368,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,660 : 175,524 = 175,524 : x
  2. Step 2: Convert to fraction form
    83,660/175,524 = 175,524/x
  3. Step 3: Cross multiply
    83,660x = 175,524 × 175,524
  4. Step 4: Simplify right side
    83,660x = 30,808,674,576
  5. Step 5: Solve for x
    x = 30,808,674,576/83,660
  6. Step 6: Final answer
    x = 368,260.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.