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Finding the Third Proportional to 82,050 and 193,581

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Solution

The third proportional to 82,050 and 193,581 is: 456,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,050 : 193,581 = 193,581 : x
  2. Step 2: Convert to fraction form
    82,050/193,581 = 193,581/x
  3. Step 3: Cross multiply
    82,050x = 193,581 × 193,581
  4. Step 4: Simplify right side
    82,050x = 37,473,603,561
  5. Step 5: Solve for x
    x = 37,473,603,561/82,050
  6. Step 6: Final answer
    x = 456,716.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.