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Finding the Third Proportional to 84,037.50 and 182,202

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Solution

The third proportional to 84,037.50 and 182,202 is: 395,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,037.50 : 182,202 = 182,202 : x
  2. Step 2: Convert to fraction form
    84,037.50/182,202 = 182,202/x
  3. Step 3: Cross multiply
    84,037.50x = 182,202 × 182,202
  4. Step 4: Simplify right side
    84,037.50x = 33,197,568,804
  5. Step 5: Solve for x
    x = 33,197,568,804/84,037.50
  6. Step 6: Final answer
    x = 395,032.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.