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Finding the Third Proportional to 42,363 and 91,285

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Solution

The third proportional to 42,363 and 91,285 is: 196,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,363 : 91,285 = 91,285 : x
  2. Step 2: Convert to fraction form
    42,363/91,285 = 91,285/x
  3. Step 3: Cross multiply
    42,363x = 91,285 × 91,285
  4. Step 4: Simplify right side
    42,363x = 8,332,951,225
  5. Step 5: Solve for x
    x = 8,332,951,225/42,363
  6. Step 6: Final answer
    x = 196,703.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.