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Finding the Third Proportional to 83,037 and 181,660

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Solution

The third proportional to 83,037 and 181,660 is: 397,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,037 : 181,660 = 181,660 : x
  2. Step 2: Convert to fraction form
    83,037/181,660 = 181,660/x
  3. Step 3: Cross multiply
    83,037x = 181,660 × 181,660
  4. Step 4: Simplify right side
    83,037x = 33,000,355,600
  5. Step 5: Solve for x
    x = 33,000,355,600/83,037
  6. Step 6: Final answer
    x = 397,417.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.