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Finding the Third Proportional to 42,151 and 90,836

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Solution

The third proportional to 42,151 and 90,836 is: 195,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,151 : 90,836 = 90,836 : x
  2. Step 2: Convert to fraction form
    42,151/90,836 = 90,836/x
  3. Step 3: Cross multiply
    42,151x = 90,836 × 90,836
  4. Step 4: Simplify right side
    42,151x = 8,251,178,896
  5. Step 5: Solve for x
    x = 8,251,178,896/42,151
  6. Step 6: Final answer
    x = 195,752.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.