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Finding the Third Proportional to 42,336 and 95,456

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Solution

The third proportional to 42,336 and 95,456 is: 215,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,336 : 95,456 = 95,456 : x
  2. Step 2: Convert to fraction form
    42,336/95,456 = 95,456/x
  3. Step 3: Cross multiply
    42,336x = 95,456 × 95,456
  4. Step 4: Simplify right side
    42,336x = 9,111,847,936
  5. Step 5: Solve for x
    x = 9,111,847,936/42,336
  6. Step 6: Final answer
    x = 215,226.94

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.